{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "##实验一"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "9b2c42c5a84f0cfb"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x500 with 3 Axes>",
      "image/png": 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Jzp07c+bMGcxmMwEBAeXepvMewGq1YrVaPRF+AV26dOGpp54CHIORL774Ig0aNCAmJgaAp59+mnfffZf169fTs2fPColBxONSUkDn3CJSgYw8dovvUSW6iIibnJd3pa5Zc/5k3iknB3bsMCYwER9it9vJyMgwNAb1OxSR+Ph4oqOjiY6OdiWa//3vf2Oz2di1axdHjx71yDZjYmJcy4oaPPSEzp07u/5tsVioX78+nTp1ci1r1KgRgEf7votUuO3bdc4tIhXKyGO3+B5VoouIlFLGRReB2Zz/pN5igb+qbUXE4V//+heDBw+mWbNmnDp1ii+++IIlS5Ywd+5cQ+NyDogNHz5clSUi1VRsbCzDhw8HHBVnMTExPPPMM1itVpo1a0ZQUJBHtpmQkEBUVBRAhX7e+Pv753tsMpnyLTOZTADkXpiQFPFmkZE65xaRCmXksVt8j5LoIiLFKOzyrlX79xPy5JNc9NxzmHJzHSfz8fG6rFTkAocOHeLWW2/FZrMRGhpK586dmTt3Ltdcc43RoYlINVfY5dkXX3wxAQEB1KpVq9StXIraZlRUlOuLuIiUUng4TJniaOGSk6NzbhHxOB27pTSURBcRKUZ8fDyTJk3Kt8x5mVdT4Nnbb+eOZ5/VybxIIaZ60eRf6ncoIiLig8aNc/RA37HDUYGuc24RETGIkugiIsVw6/IuJd5EvF5xA2IAEydOJC4urpKjEhFvYLVamThxIg0bNiQ9Pd2j29TgnIgHhIcreS4iFU7HbimJyW63240OorKkpaURGhpKamoqISEhRocjIj4mKSmJ6OhoEhMTdXmXVAodtzz3O7iwEr2wATGdMItUb+fOnWP37t20aNGCGjVqGB2OeLHi/lZ07NbvQEQqj47d4i5PHLtViS4iIiJVnvodioiIiIiISFmZjQ5ARMRX6PIuEREREREREZHqR5XoIiJuslqt6pksUgVoQExERERERERKQ0l0ERERqVY0ICYiIiIiIiKloXYuIiIiIiIiIiIiIiJFUBJdRERERERERHj33Xfp3LkzISEhhISE0KtXL3766SejwyrAZrMRFxeHzWYzOhQREakmlEQXEREREREREcLDw3nxxRdZs2YNa9asoX///lx33XVs3LjR6NDysdlsTJo0SUl0ERGpNOqJLiIiIiIiIiIMGzYs3+PnnnuOd999l5UrV9KhQweDohIRETGekugiIiIiIiIikk9OTg5ff/016enp9OrVq8j1MjIyyMjIcD1OS0urkHhsNpur8jwpKSnfPTgmDrdarRXy3iIiImrnIiIiIiIiIiIAbNiwgaCgIAIDA7nnnnuYOXMmF198cZHrv/DCC4SGhrpuzZo1q5C44uPjiY6OJjo6mpiYGABiYmJcy+Lj4yvkfUVEKltycjImk4l169YZHYrkoSS6iIiIiIiIDzKZTMXe7rjjDqNDFB/Utm1b1q1bx8qVK7n33nu5/fbb2bRpU5HrP/HEE6Smprpu+/btq5C4YmNjSUxMJDExkYSEBAASEhJcy2JjYyvkfUVEPEnHbt+ldi4iImWRkgLbt0NkJISHGx2NiIiIVEN5J1X88ssvefrpp9m6datrWc2aNY0IS3xcQEAArVu3BqB79+6sXr2a119/vchK78DAQAIDAys8rsLatURFRREVFVXh7y0i4inuHLtPnDhhRGhSAlWii4iU1tSpEBEB/fs77qdONToiERER8SYpKbB4seO+AjVu3Nh1Cw0NxWQyFVjmvCT8q6++4sorr6RmzZr06NGDbdu2sXr1arp3705QUBCDBg3iyJEjFRqv+Ca73Z6v57mISJXkRcdu8U5KoouIlEZKCowfD7m5jse5uRAbW+EHWhEREfECmZmQlua4L4qXDrZPnDiRp556iqSkJPz8/Bg1ahSPPfYYr7/+OsuXL2fnzp08/fTTRocpBvvXv/7F8uXLSU5OZsOGDTz55JMsWbKEMWPGGB1aPlarlYkTJ2oiURHxDC89dot3UTsXEZHS2L79fALdKScHduxQWxcREZGq7MgR2LPn/OOICGjYMP86RQ22Dxxo+HnCI488wsCBAwH4xz/+wahRo1i4cCGXX345AOPGjePDDz80MELxBocOHeLWW2/FZrMRGhpK586dmTt3Ltdcc43RoeVjtVqJi4szOgwRqQq8+Ngt3kVJdBHxOTabjfj4eGJjYyu/+iQyEszm/Il0iwX+6hspIiIiVVBmZv4EOjgeh4ZCQMD5ZV482N65c2fXvxs1agRAp06d8i07fPhwpccl3mWqqi9FpLrx4mO3eBefaefywgsv0KNHD4KDgwkLC2PEiBH5Gu+LSPVhs9mYNGlSvgk5Kk14OEyZ4kicg+M+Pl4HVxERkars3LnCl1/YJ9o52J6Xlwy2+/v7u/5tMpkKXZZ7YRJBpIqw2WzExcUZ8/1BRLybFx+7xbv4TBJ96dKl3HfffaxcuZIFCxaQnZ3NgAEDSE9PNzo0Ealuxo2D5GTHpCPJyY7HIiIiUnXVqFH48sDA/I812C7ilQwtwhER76Zjt7jJZ9q5zJ07N9/jadOmERYWRmJiIr179zYoKhGpLDabzXXSm5SUlO8eHH0RK7W1S3i4DqoiVU1KiuNyzshI7d8ikl9AgKMH+oU90fO2cnEaN87RR3XHDkcVmz5PREREvJuO3eIGn0miXyg1NRWAevXqGRxJ0bJzs1l3cB3bj23ndOZp/C3+tKzbko5hHalX03vjFvFG8fHxTJo0Kd+ymJgY178nTpxYaZMLnc06y+ajm9l0ZBPnss/hZ/ajZd2WdGvcjeDA4EqJQUQ8bOrU8xMKmc2OahRdZSIieTVs6OiBnpHhqEAvLIHupMF2EcN5XRGOiHg3HbulBCa73W43OojSstvtXHfddZw4cYLly5cXuV5GRgYZefoUpqWl0axZM1JTUwkJCamw2JbuWco7q99hzvY5pGcVbDdjNpnpE9GH0Z1Gc1uX2wiwFHMCLiJAwZPgmJgYEhISiIqKAir+JNhutzN/53ymrZvGd1u/41x2wd6oJkz0jujNuG7juLHDjdTwK+LSbxE3paWlERoaWqHHLW9XKb+DlBRHRemFEwYnJ+tEWqQaOXfuHLt376ZFixbUKKp9iwjF/63o2O09v4O4uLgCRTh5VWYRjohUDB27xV2eOHb7ZCX6/fffz/r16/nll1+KXe+FF14o9qDpaesOruO+OfexYt8K17I6NerQpVEXQmuEcjbrLDuO72D3yd0sTl7M4uTFPLf8Of7T9z+M7TzWNcGPiBRUWJI8KirKlUSvSKtSVvHIgkf4Ze/5z5z6NevTMawjoTVCOZd9js1HNrMvbR9L9yxl6Z6l/Hvxv3n5mpf528V/074t4u22b8+fQAfIyXFczqkkuoiIiE+KjY1l+PDhQNFFOCIiIu7yuST6Aw88wPfff8+yZcsIL+GL7RNPPMGECRNcj52V6J6WnZvNvxf9m/+u+C+59lxq+dfi1s63EhMVQzdrN8ym/PO37j6xm682fsVrq14j+WQyt826ja83fU3CsAQaBTXyeHwiUjZZOVlMXDKRF395ETt2avrV5O6ou7m9y+1EWaMKJMf3nNzDx398zHuJ77EndQ83fXMTQ9sM5aMRH6mFk4g3i4x0tHC5sBK9dWvjYhIREZFyMbIIR0REqh5zyat4B7vdzv3338+MGTNYtGgRLVq0KPE1gYGBhISE5Lt52tEzRxk0fRAv/voiufZcbu5wM9vu38Z7Q98jukl0gQQ6QIu6LXj8isfZ9eAunu//PAGWAH7Y9gNd47uSZEsq5F1EJC+r1crEiRMrtHrkSPoR+n7Ulxd+eQE7dm7tfCvbH9jOG4PfILpJdKHV5RF1Ivh3n3+z7f5tTOwzkUBLID9u+5Fu8d1IPJBYYbGKSDmFhzt6oFssjscWC8THqwpdpJLYbDbi4uJcbdtERHyBPrtERKoXn0mi33fffUyfPp3PPvuM4OBgDh48yMGDBzl79qxhMe1P28/lH1zOwt0Lqe1fmy//9iVf/O0LmoY0dev1Nf1r8sSVT7AmZg0dGnbg4OmD9J7Wm7k75hZYVwdokfOsVitxcXEVlkTfc3IPV0y7ghX7VhAaGMpXf/uKj6//2O19u3ZAbeL6xrHy7pW0rteaval76fdRP5YmL62QeEXEA8aN49CqVXx4++0cWrVKk4qKVCKbzcakSZN0nisiFaYiinD02SUiUr34TBL93XffJTU1lb59+7ouy7JarXz55ZeGxLPn5B56f9ibbce2cVHoRay6exU3dbipTNvq1KgTv971K1e1uIr0rHSGfz6ceTvm5VtHB2iRypF8Mpkrpl3h2rdX3r2SGzvcWKZtdW3clTUxa+jfoj+nMk8x6NNBBfZtEfEe+00m7vzoI/ZrHgMREZEqpaKLcEREpOrzmZ7odrvd6BBcMnMyueaTa9h1Yhct67Zk0W2LiKgTUa5thtYIZc6YOYyZMYZvNn3D9V9ez/xb53PFRVd4KGqR6s1msxEfH09sbGyRJ8+H0w8z4JMBpKSl0L5Be+bfOp/wkPK1cwitEcrs0bO56eub+GHbD4z8aiRLbl9Cj6Y9yrVdERERX2az2VzFIUlJSfnuofBexiIiJUpJcUwYHhlZIW3Z9NklIlJ9+UwlujcJsATw0tUv0aFhB5besbTcCfS82/105KcMbj2Ys9lnGfrpUL5b/h1JSUn5DtDOm/PgrVYvIiUr6WqOs1lnGfLZELYf305EaAQLbl1Q7gS6Uw2/Gnx707cMbDWQM1lnGPLZEHYc3+GRbYtI+dhstnzHVij8WCsinhUfH090dDTR0dHExMQAEBMT41oWHx9vcIQi4nOmToWICOjf33E/darH30KfXSLllJICixc77kV8jMnuTSXeFSwtLY3Q0FBSU1M9Mslodm42fmbPF/OfyTrDVR9fxcqUlXAYeB/ILLjexIkTiYuLIykpiejoaBITEzXTuEgRittP7HY7t8+6nU/Wf0L9mvVZMW4Fbeq38XgMpzJO0fejviTZkugY1pGV41ZSO6C2x99Hqg5PH7d8UUX/DuLi4pg0aVKRzzuPtSLiWRdWc8bExJCQkOA6RhtRzXnu3Dl2795NixYtqFGjRqW+t/iW4v5WdOw26HeQkuJInOfmnl9msUByskcr0r3xs0vEZ0ydCuPHO/ZTsxmmTCn3PEQ6dou7PHHs9pl2Lt6oIhLoALX8azHjphl0e68bh8IO0e+Nfowyj2L8+PEFDtAiUjR3L7d8Z/U7fLL+E8wmM1/f+HWFJNABggOD+XHUj0RNieLPw39yz+x7+HjEx5jUf1nEMLGxsQwfPhwo+suwiHheYYmmqKgoFYSISNls354/gQ6QkwM7dng0ia7PLpEySkk5n0AHx31sLAwcWCGtl0Qqgtq5eClrsJXvRn1HgCWAxQcXs6fBHuD8Adpqtea7BB10+bnIhdy53PKPg3/wz3n/BOC/V/+Xfi36VWhM1mArX/7tSywmC9PXTychKaFC309Eime1Wl3HVucX4LyPlUQXEV92xx13MGLEiAp/ny1bttCzZ09q1KhB165dK/z9ihMXF2d4DGKAyEhHZWteFgu0bm1MPCKSX3EDXZKPjt3eS0l0L3Zp+KU83/95ACZvnAz1zz+nXmwiJYuNjSUxMZHExEQSEhzJ6oSEBNey28fdztiZY8nKzWJ42+FM6DWhUuLqHdGb569y7NsT5k1g14ldlfK+IiIi3shqtTJx4kQNWlWA119/nQ8//LDC32fixInUrl2brVu3snDhwgp/PyeTycSsWbPyLXvkkUcqNQbxEuHhjtYQFovjscUC8fEVWuGqzy6RUtBAl9t07PZeaufi5f7Z65/8tOMnFu5eSJP7mxDWKAzQ5eci7ijpcstH5z/Kn4f/JKx2GAnDEiq1rcojlz3C7O2zWbZnGXd+dyeLb1+M2aRxTREj6cuwiDGsVqvmHqggoaGhlfI+O3fuZMiQIURERFTK+xUnKCiIoKAgo8MQI4wb52gNsWOHIzFXwS0i9NklUgrOga7YWEcFeiUMdPkqHbu9lzI2Xs5sMvPRiI8IDQzlgOkA3+77FtDl5yLltebAGib/NhmA94e9T1jtsEp9f7PJzLTrplHbvzbL9izj7d/frtT3F5GCnF+GdQwVEV/yzTff0KlTJ2rWrEn9+vW5+uqrSU9PBwpeEt63b18efPBBHnvsMerVq0fjxo0LJAFTU1MZP348YWFhhISE0L9/f/74448i399kMpGYmMh//vMfTCYTcXFxLFmyBJPJxMmTJ13rrVu3DpPJRHJyMgAffvghderUYd68ebRv356goCAGDRpUoC3lBx98QIcOHQgMDMRqtXL//fcD0Lx5cwCuv/56TCaT6/GFl4Tn5ubyn//8h/DwcAIDA+natStz5851PZ+cnIzJZGLGjBn069ePWrVq0aVLF3777Tc3fvtSqVJSYPFix31RwsOhb18l5kS80bhxjsl+Fy923JdzUlFSUmDVKsjO9kR0lUrHbt88diuJ7gOahjTlv9f8F4AnFz3J3tS9Bkck4nvyVphm52YT+2MsduyM7jSaYW2HGRJTy7ot8+3btlOay0BERMRb2O120jPTDbnZ7Xa3YrTZbIwaNYq77rqLzZs3s2TJEkaOHFns6z/66CNq167NqlWr+O9//8t//vMfFixY4PqZhwwZwsGDB5kzZw6JiYlERUVx1VVXcfz48SJj6NChAw8//DA2m41HHnnE7d/xmTNneOWVV/jkk09YtmwZe/fuzff6d999l/vuu4/x48ezYcMGvv/+e1r/den/6tWrAZg2bRo2m831+EKvv/46kydP5pVXXmH9+vUMHDiQ4cOHs3379nzrPfnkkzzyyCOsW7eONm3aMGrUKLJ9MDFTZU2dChER0L+/437qVKMjEpGy8NRAl/Mz4fbbYf9++OsYpWO3jt0VeexWOxcfcXfU3Xz8x8f8uu9XHvzpQWbdMsv1nC4/FylZ3sst31j1Bkm2JOrUqMOrA141NK7Y6Fg++uMjft//Ow/Pf5jPbvjM0HhERETE4UzWGYJeMObS4tNPnKZ2QO0S17PZbGRnZzNy5EjX5didOnUq9jWdO3dm4sSJAERGRvLWW2+xcOFCrrnmGhYvXsyGDRs4fPgwgYGBALzyyivMmjWLb775hvHjxxfYXuPGjfHz8yMoKIjGjRuX6ufMysrivffeo1WrVgDcf//9/Oc//3E9/+yzz/Lwww/zj3/8w7WsR48eADRs2BCAOnXqFPu+r7zyCo8//ji33HILAC+99BKLFy/mtdde4+23z18J+MgjjzBkyBAAJk2aRIcOHdixYwft2rUr1c8kFSAlBcaPPz8pYW6uoyXEwIGqOBepji78TAA4cAAaNOAMWTp2o2N3RR27VYnuI8wmM1OGTcHP7Md3W79jwc4Frud0+bmI+w6nH+apRU8B8OJVL9IoqJGh8VjMFt659h3MJjOf//k5i3YvMjQeERER8R1dunThqquuolOnTtx4440kJCRw4sSJYl/TuXPnfI+tViuHDx8GIDExkdOnT1O/fn1Xf9KgoCB2797Nzp07PR5/rVq1XF/CL4zl8OHDHDhwgKuuuqrM209LS+PAgQNcfvnl+ZZffvnlbN68Od+yvL8X5/cqZyxisO3b8yfLwNFTeccOY+IREWMV9pkAkJFR+bGUgY7dxfPmY7cq0X3IxQ0v5r4e9/H6qteZMH8Ca2PX4mfWf6FIaUxcPJFTmaeIskYREx3j2Y2npDgO6JGRpaqKiW4Szb3d7+Xt1W/zz3n/JGl8EhazxbOxiYiISKnU8q/F6SdOG/be7rBYLCxYsIAVK1Ywf/583nzzTZ588klWrVpFixYtCn2Nv79/vscmk4ncv5IRubm5WK1WlixZUuB1derUcTt+s9lRq5X30vSsrCy3YnG+pmbNmm6/X0kunDzebrcXWJY3FudzuYUlaaTyRUaC2Zw/aWaxOCYPFZHqp7DPBIDAQGr5++vYnYeO3Z6lSnQf83Sfp6lXsx5/Hv6ThMQEo8MR8SkbD29kStIUAF4d8Cpmkwc/AsvZp3FS30mEBoay/tB6Pln/iefiEhERkTIxmUzUDqhtyO3CL4klxXn55ZczadIk1q5dS0BAADNnzizTzxwVFcXBgwfx8/OjdevW+W4NGjRwezvOy7XzTjS2bt26UsUSHBxM8+bNWbhwYZHr+Pv7k5OTU+TzISEhNGnShF9++SXf8hUrVtC+fftSxSMGCg+HKVMciXNw3MfH5y9acWfSURGpGi78TABo0gQCAnTs1rG7QimJ7mPq1azHpL6TAJi4ZCKnM40ZYRPxRY/9/Bi59lyub3c9fZr38dyGi+rTWIqT+Pq16vPklU8CjklGz2Sd8Vx8IiIiUiWtWrWK559/njVr1rB3715mzJjBkSNHyvwl8+qrr6ZXr16MGDGCefPmkZyczIoVK3jqqadYs2aN29tp3bo1zZo1Iy4ujm3btjF79mwmT55c6nji4uKYPHkyb7zxBtu3bycpKYk333zT9bzzi/rBgweLvBT+0Ucf5aWXXuLLL79k69at/N///R/r1q3L16tVfMC4cZCc7EiUJyc7Hjtp0lER31aWQTDnZ8LHH0PTplCvXoWF52k6dvvusVtJdB8UGx1Lq7qtOHLmCG+sesPocEQ8zmazERcXl28EtLx+2fsLc7bPwc/sx0tXv+Sx7QIe69P4wKUPEBEawYFTB3h95eseDFBERETclpkJaWmOey8XEhLCsmXLuPbaa2nTpg1PPfUUkydPZvDgwWXanslkYs6cOfTu3Zu77rqLNm3acMstt5CcnEyjRu7PI+Pv78/nn3/Oli1b6NKlCy+99BLPPvtsqeO5/fbbee2113jnnXfo0KEDQ4cOZfv27a7nJ0+ezIIFC2jWrBndunUrdBsPPvggDz/8MA8//DCdOnVi7ty5fP/990RGRpY6HjFYeDj07VuwAr2cxSwiYqDyDIKFh8Mll4Cfb7U51rHbd4/dJnveZjdVXFpaGqGhoaSmphISEmJ0OOXy6fpPGTtzLKGBoez+x27q1qxrdEgiHpOUlER0dDSJiYlERUWVe3t2u51+H/Vj6Z6ljI8aT/yweA9EmUdKiuOAf2GfxuTkUvVGB/jkj0+4bdZt1KtZj93/2E1IoG9/Vkn5VKXjVlnpdyAileXcuXPs3rCBFiYTNZwLIyLgr8ubRZzOnTvH7t27adGiBTVq1Mj3nI5blfw7WLzYkXwrbHnfvhX73iJSPh74Hl3c57FIXp44dqsS3Ufd0vEWOoZ1JDUjlZdXvGx0OCJebdHuRSzds5QASwBP9X7K82/gTp9GN43uNJq29dty/OxxXWkiIiJSmQ4ehGPH8i/bs8cnKtJFqi3nBIN5adJREd/goSu6RSqLkug+ymK28Ey/ZwB48/c3OX72uMERiZSPzWYjKSnJdQPyPS5raxe73c7TS54G4J7oe2gW2sxjMedTXJ/GUrCYLUzsMxGAyb9N5uS5kx4LUURERIqxZ0/hyzMyKjcOEXGfB4tZRKSSaRBMfIyS6D7surbX0blRZ05nnlbFqvi8+Ph4oqOjiY6OJiYmBoCYmBjXsvj4srVgWbpnKSv2rSDQEsj/XfF/ngy5oML6NJbBTR1u4uKGF3Py3EneXPVmyS8QERGR8ouIKHx5YGDlxiEipeOhYhYRqWSVNAiWmZnJgQMHyNSVZVJOSqL7MJPJxJNXPgnAG6veIC0jzeCIRMouNjaWxMREEhMTSUhIACAhIcG1LDY2tkzbfX758wCM6zYOa7DVY/FWJIvZwlNXOtrOvL7qddIz0w2OSEREpBpo3Bjq18+/LCICAgKMiUdE3OehYhYRqWSVMAiWlZXFgQMHyMrK8vi2pXpREt3H3dD+BtrWb8uJcyd4d/W7RocjUmZWq5WoqCjXDcj32GotfQJ89f7VLNi1AIvJwqOXP+rpkCvUjR1upGXdlhw7e4ypa0sxQ7mIiIiUXVAQtGkDbdtC586aVFRERKSi/TUIZrNYiIuLK3MrV5GKpiS6j7OYLTxxxRMAvLbqNTKy1bNRxOmFX14AYEznMTSv09zYYErJz+zHo5c5Ev+vrHiFrByNmouIiFQGu78/BAerAl2KlHvhRHgiIlJuNpuNSZMmlSmJbrfb8z3OzMwkPT2d9PR0zpw5A8CZM2dcy9TapfrxxLHbzwNxiMFGdRrFvxb9iwOnDvD5n59zR9c7jA5JpFysVisTJ04sU/W5047jO5i1ZRYAj1/+uIciqzw2m42UH1NoWKsh+9L28cWfX3Brl1uNDktERKRKsNlsxMfHExsb6zrf8Pf3x2QyceTIERo2bIjJZDI4SvE2drudzMxMjhw5gtlsJkADLSIihirq2H348GEOHz6cb909eSYQDwsLIywsrFJjFWN48titJHoVEGAJ4MFLHuT/Fv4fr/72Krd3uV0n/eLTrFYrcXFx5drG6ytfx46dwa0Hc3HDiz0TWCWy2Ww8N+k57vviPt7e8jb/W/k/xnYeq31bRETEA5zVbsOHD3cl0S0WC+Hh4aSkpJCcnGxsgOLVatWqxUUXXYTZrAu7RUTKw2azuSrPk5KS8t2DIzdQXHFdUcfunJwc/P39AcjIyOD48ePUq1ePwL8mC09LSyM9XXOPVSeeOHYriV5BCqtuqUjjo8fzzLJn2HB4Awt2LWBAqwEV/p4i3urE2RNMWzcNgAm9JhgcTfmMjBjJ1B1TWXtwLcv3Lqd3RG+jQxIREfE+KSmwfTtERpZrYsGgoCAiIyM1+ZgUyWKx4Ofnp8IGEREPiI+PZ9KkSfmWxcTEuP49ceLEEgvsSjp2b9y4kXvuuYdvv/2Wtm3bljtm8T2eOnYriV5BCqtuqUh1a9ZlXLdxvPH7G/xv5f+URJdqLSEpgfSsdDqFdeKqFlcZHY7bChuF3/XnLq5tci0z9s7gxSUv0vt2JdFFRETymToVxo+H3Fwwm2HKFBg3rsBq7la7WSwWLBZL5cQuIiJSjcXGxjJ8+HDAcUyOiYkhISGBqKgoALfzacUdu00mE3v27MFkMlGjRg3PBC7VkpLoVciDlz7IG7+/wbwd89h1Yhct67Y0OiSRSpeTm8Pbq98G4J89/+lTVUJFjsI3BO6Dn3b/pH1bREQkr5SU8wl0cNzHxsLAgQUq0j1R7SYiIiKeU1i7lqioKFcS3VPvUd4510QA1MTNg2w2G0lJSa4bkO9xWWYYLo1W9VoxoNUA7NiZkjilQt9LxFvN3TGXval7qVezHqM6jTI6nFKJjY0lMTGRxMREEhISAEhISCBxbiI9G/YEE8SviTc4ShH3vfDCC/To0YPg4GDCwsIYMWIEW7duNTosEalKtm8/n0B3ysmBHTsKrFrkcfavZbGxsZURsYiIiFQi55xrSqJLeSmJ7kHx8fFER0cTHR3tqmqJiYlxLYuPr/jk173d7wVg6tqpZGRnVPj7iXib9xLfA+COLndQw8+3LtWyWq2uUXfnyLvz34/3fxyAaeumkZmTaWSYIm5bunQp9913HytXrmTBggVkZ2czYMAATeIjIp4TGelo4ZKXxQKtWxdYtbjjbFRUlL5ci4iIGEgV4+Lt1M7FgzzVy6k8hrYZStPgpuw/tZ9vN3/L6E6jK/w9RbzF3tS9zNk+B3BMtluVDG0zlCbBTThw6gAzN8/k5o43Gx2SSInmzp2b7/G0adMICwsjMTGR3r3V319EPCA83NEDPTbWUYFusUB8fLkmFxUREZHK56wYF/FWSqJ7UGX0ciqJn9mPmKgY4pbG8d6a95REl2rl/aT3ybXn0q95P9o28O1Zty8chfcz+zGu2zieWfYMU5KmKIkuPik1NRWAevXqFblORkYGGRnnr6RKS0ur8LgA7HY7q/avYt6Oefy+cxm7j+8k3ZSNX0AgEaERdGjYgcGRg+nXvB81/WtWSkwi4qZx4xw90HfscFSg50mg2+121hxYw3dbv+OPQ3+w/dh2zmWfw2Q30Xxic97b/R7XBV3HgFYD8Lf4G/hDiIg3stlsxMfHExsbq+pYEZFqzmS32+1GB1FZ0tLSCA0NJTU1lZCQkAp9r6SkJKKjo0lMTKzUJDrA/rT9RLwWQY49hw33bqBjWMdKfX8RI2TlZBHxWgS20za+/NuX3NThJqND8rg9J/fQ4vUW2LGz7f5tRNaPNDokqWCVedyqaHa7neuuu44TJ06wfPnyIteLi4srMPEfUGG/g6ycLN5Pep83fn+DLUe3lLh+nRp1uLf7vTx46YM0Dmrs8XhExDMysjOYtm4a//31v+w+ubvE9evVrEdMVAyPXvYo9WvVr4QIpaqqSsfusvKG34Gnkt9Gfq8XEZHK4e5xSz3RK4iRvZyahjTlunbXAfDemvcq/f1FjPDDth+wnbYRVjuMEe1GGB1OhYioE8HgyMEAmjxYfM7999/P+vXr+fzzz4td74knniA1NdV127dvX4XFNHvbbC5+52L+PufvbDm6hZqWGtz8J7wxB37+CH6fAss+NPNx79eIjY4lPCSck+dO8sIvL9D6jda8+turZOdmV1h8IlI2P23/iTZvteHe2fey++RuggKCuKnDTbx97dv8fOvPrLp7FcvvXM4Hwz/g3u730qh2I46fPc5Lv75Ei9dbMHnFZHJyc4z+MUSkHGw2G5MmTcJmsxkdiohUIpvNRlxcnPZ9qRCqRK+ift71M9d8cg3BAcEcePgAQQFBRockUqEGTh/I/J3zeeKKJ3j+queNDqfCfL/1e6774joa1GpAyj9TCPQLNDokqUBV5bj1wAMPMGvWLJYtW0aLFi1K9dqK+B2kZ6bz8PyHiU90TPgdVjuMp658itvTWhAyYFjBFyxeDH37kmvP5fut3/PCLy/w+/7fAejepDtf3/g1zes090hsIlJ26Znp3DfnPj764yMAmgY35bHLH+PuqLup5V+ryNfl5Obw47YfmbhkIn8c+gOAKy66go9HfEyLuqX7zBKpKsfu8vCG30F5KshtNpsrAVfUXGdq7SLinXT1iJSFKtGruf4t+tO6XmtOZZ7isw2fGR2OSIXaeXwn83fOx4SJmKgYo8OpUNdGXkvT4KYcPXOUGZtnGB2OSLHsdjv3338/M2bMYNGiRaVOoFeE/Wn7uWLaFa4E+j97/pMdD+zggUsfIKR9VzBfcGpksTh6LANmk5kR7Ubw27jfSBiWQJ0adVhzYA3RU6JZsHNBJf8kIlVMSopjwColpUwv35u6lyumXcFHf3yE2WRmQs8JbL1/Kw9e+mCxCXQAi9nCde2uIyk2iSlDpxAUEMQve3/hkvcv4Ze9v7jWK291m6rjRCqWzWYjKSnJdQPyPXZ334uPjyc6Opro6GhiYhzfLWJiYlzL4uPjK+xnEJEKUM5zDBEnJdGrKLPJzD3R9wDwwdoPDI5GpGI5W5sMbD2wyleMOScYBZiSpJYu4t3uu+8+pk+fzmeffUZwcDAHDx7k4MGDnD171pB4NhzaQM+pPVl3cB1htcNYcOsCXh34KsGBwY4VwsNhyhRH4hwc9/Hx+SYpBMcx9u6ou1kXu45oazTHzx7n2s+u5cs/v6zkn0ikipg6FSIioH9/x/3UqaV6+Z+H/+SShEtYd3AdDWs1ZPHti5k8cDJpx9JKlbQ2m8zERMew4d4NRFujOXrmKFd9fJVr3y5vewi1lxBf8MILL9CjRw+Cg4MJCwtjxIgRbN261eiw3OKp5HdsbCyJiYkkJiaSkJAAQEJCgmtZbGxshf0MIlJ6xQ2g7Xn6aezlOMcQyUvtXKqwQ6cP0fTVpuTYc9hywxLaHsmFyMgCyQARX5adm02z/zXj4OmDzLhpBte3v97okBwj3Nu3V9j+ti91H81fb06uPZct922hbYO2Hn8P8Q6+ftwymUyFLp82bRp33HGHW9vw1O8gKyeLyDcj2ZO6h3YN2jFn9JyiB91SUmDHDkcFegn78Lnsc9z13V18/ufnmE1m3h/2Pnd2u7PMcYpUOykpji+1ubnnl1kskJzs1jF03cF1XP3x1Rw7e4zOjTrzw6gfuCj0IqB8l3SfyTrDbTNv49vN32I2mfl05Ke0yWxTrkvEdYl59eDrx+5BgwZxyy230KNHD7Kzs3nyySfZsGEDmzZtonbt2m5tw6jfQUW0YdF+K+L94uLimDRpUoHlTYE9gCXvwlKcY0j14e5xy68SY5JK1iioEYNaD2L29tl88lBfnl2I4zL1KVNg3DijwxPxiIW7FnLw9EHq16zPkDZDjA7HMbI9frwjGVBB+1uz0GYMaj2IOdvn8PEfH/PcVc95dPsinuJN4/T+Fn8+GvERz//yPF/c8AV1a9YteuXwcLdPrGv41eCT6z8hOCCYKUlTGPf9OEICQ7jh4hs8FLlIFbd9e/4EOkBOjmMgq4T9cOvRrVz18VUcP3uc7k26M2/sPOrVrOeRsGr51+KrG79izJdj+GLrF4z5dgzj640HcFW5QclJuQuTeqV9vUhlmzt3br7H06ZNIywsjMTERHr37m1QVO4pbH+KiopS8lukiouNjWX48OFA/gG03jk5WO65J//Kbp5jiBRGSfQq7rbwIY4keif4zyIw5+ZCbCwMHKgPDakSPl7/MQC3dLyFAEuAscGkpJxPoIPjvoL2t9s638ac7XOYvmE6z/R/BrNJ3blEStKneR96R/QuskK+rCxmC+8NfQ+TyUR8YjyjZ4xmfq359Gnex6PvI1JV2Gw24uPjiY2NxRoZ6Rh0vrAS/a+5CIpy6PQhBn86mONnj9OjSQ8W3LqA0BqhHk1am01m2mxpA+sgt1su7x16D8JxtYkAmDhxInFxcUVuIz4+vkB1XGleL2K01NRUAOrVK3qAKiMjg4yMDNfjtLS0Co/L6cTZE/yW8hvrD60nJS2FM1ln8DP7YTptgk5w6Oyhcm3farUyceJEDXaJVLLUc6ks3bOULUe3kHwymXPZ5/Az+9EkuAntGrTj8maX0yy0GVD0AFqbsLAynWOIFEVJ9CpueFZLQs/B3jqwNAL6JaORN6kyTmWcYubmmQDc1uU2g6OhXNV0pTW87XCCA4LZm7qXX/b+Qu8I764MEvEWnk6g593u29e+zeH0w8zcMpMRX44gcXwiLeu2rJD3E/Flzt7gw4cPxxoV5bhqKzbWccwsYi6CvM5ln2PY58PYfXI3req24sfRPxJaIxTwTNI6b5L/nth7GHpgKI+sfoRlh5bBKHi+5fMMvGQgQImJtaKq4/K2lxDxVna7nQkTJnDFFVfQsWPHItd74YUXCm2lUFGycrL4cuOXfLRqCktsK8i25xS+4g1w7c/XcvEfF3Nn1zu5rctthNUOK9V7Wa1WDXSJVJKM7Ay+3fwtUxKn8MveX8gpat/+S+dGnRnbaSx3R91d+FWmzvmOSnGOIVIc9USv6lJSiP17M6ZEwx1rYdp3qAeUVBkfrvuQO7+7kzb127Dlvi0VlhxzWzn7upbWXd/dxbR107i7290kDE/w+PbFeNXyuHUBX/sdnMs+R98P+7Jq/yq6NOrCinErqOVfy+iwRLxKoT2GSzEXwfgfxpOQlEC9mvVYOW4lkfUjXc95oidyYfGdzjxNj3d6sCV1C21D2rLugXXU8KtR/p9bqhxfO24V57777mP27Nn88ssvhBezXxZWid6sWTOP/w5ycnOYunYqzy57ln1p+1zL2x6Fbs0uoVX3awgKCCIjO4P9p/az7uA6Em2J5Nod5+Y1/Wry4KUP8vjljxff1i2PfFfOaNBLpEJk52Yzbe00Ji6ZiO30+cm32xyF7jZocdkQave4nKzcLPam7mXD4Q2sObCmwL795JVPcvr46YL7bCnOMaR6Uk90cQgP57ZBjzPlyEt8czG8Nc9M7bc08iZVwyfrPwEcrU0MT6BDpY9039r5Vqatm8bXm77mzWvfLPWXeRHxvBp+Nfjmpm+InhLNH4f+4J4f7+Hj6z82OiwRw7nVZqVv3xK3M23tNBKSEjBh4vMbPs+XQHdtx92eyKWYCDwoIIhXe7zKtd9dy1a28tDch3hv6Hslxiviqx544AG+//57li1bVmwCHSAwMJDAwMAKjWetbS3jfxzPmgNrAGh0Gu7/HW75E1ofByyJkPxtgX059VwqX2/6mvfWvEeiLZGXfn2JqWun8txlz3FgwYESk+P5rpxREl3E49ba1nLHd3ew/tB6AJrWakzs7EPc+oed5if/WmnWXEh+L9/+fezMMV6b9xrPzn+Ws43P8tKvL/Hhug95c/CbBa8eKcV8RyLFURPdauCye1+gVXAEpwNh5k//06SiUiXsS93H4t2LARjTeYzB0eQxbpyj8nzxYsd9Be5vfZr3oVlIM1IzUvlh6w8V9j4iUjrhIeF89bevsJgsfLL+Ez7b8JnRIYkYLj4+nujoaKKjo13tVWJiYlzL4uPjsdlsxMXFuZLtF9p6dCv3zbkPgEl9JzGg1YCyBzR1quPqsf79ISKCk5Mnk5SU5LoB+R7bbDa6tuzK2FpjMeGY/+CLP78o1Vuqt7L4Arvdzv3338+MGTNYtGgRLVq0MDye11a+xqXvX8qaA2sICQzhfy3/TvJr8NSyvxLocL6F4gVCa4Ryd9TdrI5Zzfe3fM/FDS/m6JmjxP4cy6Q/J7Fz385K/XlExMFut/PSLy9x6fuXsv7QeurWqMv/Bv6PXVEf8e+leRLoUOj+Xb9Wfa6PuB7eg1d7vErreq05lH6Im765iTu/u5PTmafLHFtJ5yNSfSmJXlWlpDiSeCkpmEwmbou+C4CP9/1ocGAinvHphk+xY6dPRB+a12ludDj5hYdD374VPtptNpkZ08kxgOCsyhcR79CneR+e6v0UAH+f/Xf2nNxjcEQixoqNjSUxMZHExEQSEhwtyBISElzLYmNjXRWfhX1pzcrJ4taZt3I2+yxXtbiKJ3s/WeJ7Fpm0LmQi8JBHH2V4CUl+q9XKJ3Gf8OSVjvf+++y/c+DUAbd/B87eykqiize77777mD59Op999hnBwcEcPHiQgwcPcvbs2UqPJSsnixFfjuCf8/5JVm4WI9qNYOv9W3mo3xPUyL0glVHCZIEmk4lhbYexNnYt/+79bywmC3SCO3+5k10nduVb12azlTioJiJldybrDLd8ewv/t/D/8u/bPR8ioO3FjslA88qzfxe2fwYfCGZ6r+mMixyHCRMfrvuQy6Zext7UvWWKr7jzEanelESvii6orGHqVMZ2HgvAz7t+Zn/a/vzr50m4i/gCu93Ox3842iPc2vlWg6Mx1q1dHD//Tzt+4uiZowZHIyJ5PdX7KXqG9yQ1I5U7v7uTajQNjUgBVqvV1VbF2Vol7+OSEsvPL3+e1QdWExoYyrTrpmE2lfw1psikdSETgZvtdhbFxxeb5Hd6us/TRFujOXHuBHd/f7f2balS3n33XVJTU+nbt6+rPZLVauXLL7+s9Fj8Lf40CWpCgCWANwe/yYybZtA4qPH5FooWi2NFN1so2mw2/vzjT0aEjuCR+o/AKdhxagfR70Xz6aJPXQkzd66cEZGyOXbmGH0+7MNXG7/C3+xP/NB4Ztw0g4a1GzpWKGH/Lmr/7NmjJ1PHTOV2++00qt2IDYc3cOn7l5JkSyosDJEy0cSiVU0xExv2XjCa5XuX8+JVL/L4FY87nps69Xwljtns+LBSuxfxcokHEume0J0afjU4+PBBQmuEGh2SoaKnRJNkS+KtwW9x3yX3GR2OeFC1OG6VwNd/BzuP76Tze505k3WG94e9z7goHWNFnBNszp07l/nz5zNgwAAaNmxY5ESgxyzH6BbfjezcbD4d+SmjO40uXwAlTATuzgSgm45sIio+ioycDKYOn8pd3e4qX0xSZfj6ccsTPPk7OJt1lh3Hd9CpUaeCT5ZyssC4uDgmTZp0fkEwMApoApyDOwPv5IO4DzwyQbGIFHTo9CGu/uRq/jz8J/Vr1mfGzTPoHdG78JWL2L/d2T8za2Yy7PNhbDi8gdDAUBbcuoAeTXsU/h5/zY1is1i031dj7h63VIle1RRSWePsH+Ws2P1y419VBIVcykpsrCrSxes5W5dc1/a6ap9Ah/PV+GrpIuJ9WtVrxTP9ngHgkQWPcPD0QYMjEjGes80KwKuvvsqgQYOKrPh8L/49Yn+MJTs3m+FthzOq46jyB1DGKta8Lm54sWvffnTBo7oaTKSC1PSvWXgCHUrdQrFAW6lT8Eb0G0TVi4Ia8FXAV/y+//dyXzkjIgUdPXOUvh/15c/Df2INsrL8zuVFJtBtNhtx77+PrW3bAvt3YfvnpU2bEpWaSlRYGFarlYg6Efxy1y9c3uxyUjNSufqTq1m9f3X+N7mgg8PvsbG6AkVKpCR6VRMZWWT/qJHtR2IxWVh7cC3bj20vNuEu4q1y7bl8tfErAFc/8OpuVMdRWEwWVu1f5di3RcSrPHjpg0Rbozl57iQPzX3I6HBEDOdss9KwoePS7enTpxfZRiWodxAr9q2gtn9t3hr8FiaTyTNBFDMRuLsTgD7U8yE6N+rM8bPHeWzBY56JS0QqTGHJt8u7X87ye5ZzVYurSM9KZ/Cng9l4eKPBkYpULaczT3Ptp9ey5egWwkPCWXbnMto3bF/k+qXpSX4X0HHo0HztjAFCAkP4acxPXHnRlaRlpHHtZ9ee/65cSEHp8DlzWD9njltt3aT6UhK9qimmsqZ+rfpc3fJqAEcSspiEu4i3+nXvr9hO2wgNDGVAqwFGh+MVGgU1yr9vi4hX8TP7kTAsAbPJzJcbv2Rp8lKjQxIxTGETgjknLKxZsyZwvuIzol0EL6x+AYBn+z9Ls9Bmng2miCpWdycA9bf4896Q9wCYtm4ay/cs92x8IlIpavnXYtYts7i06aUcP3ucQZ8OwnbKkbxzd1BNRAqXnZvNjV/fyOoDq6lfsz4Lbl1A63qeyTk1tdtJMJkwFdFdITgwmDlj5hBtjebomaMMnD6QQ6cPFVpQasrJoVPNmroCRYqlJHpVVExlzc0dbgb+aunigUtZRSqbM0k8ot0IAv0CDY7Ge9x48Y0AfL3pa4MjEZHCdLN2IzbaUcHy4NwHyc7NNjgiEWMUN2Hf2LFj8607cclETpw7QedGnbn/kvuNCLdEvZr1IibK8XM8NO8hcu25JbxCRLzBhcnxoIAg5oyZQ9v6bUlJS+H6L6/nXPY5twfVRKRwj85/lLk75lLLvxazR8+mXYN2ha5X2CB73seFVaU3SkvDfOE0jxd0VwgKCGL26Nm0qtuK3Sd3c8NXN5DZMkIFpVImSqJXVUVU1oxoNwJ/sz8bDm9g85HNxSbcRbxNTm4O32z+BoCbOtxkcDTeZUS7EVhMFv449Afbjm0zOhwRKcQz/Z6hbo26rD+0noTEBKPDETFEgZ7EnL9ceu7cuUyYMAGr1cqfh//k3TXvAvDawNfwM/sZGXaxnuv/HCGBISTZkvj4j4+NDkekyrPZbMTFxbnV6qEohSXH69Wsxw+jfqBujbqs2r+K2B9jsV+YoBORkqWkwOLFfLjoVV5b9RoAH4/4mEvDLy3yJcUNshfZk9zN7gqNghoxZ8wcQgND+XXfr/xjw8vFFpTqChQpipLo1UzdmnVdLTBcbR9KOSGLiFF+2fsLB08fpG6Nuq72JeKQt13T1xtVjS7ijerXqs9/+v0HgKeXPE1aRprBEYlUvuIm7Bs4cCCTJ0/GarXy8PyHybXncn276+nXop/BURevYe2G/Lv3vwF4YuETnM48bXBEIlVbafoll1Zk/Ui+vvFrLCYLH//xMR+s/cDj7yFSpf01Yef6Uf25Z/HDADzd+2luuPiGYl9W3CB7kT3JS9FdoU39Nnx2w2eYMPFe4ntMizIXOzeKrkCRwiiJXg05K3i/2qTeyeJbnAM/17e7ngBLgMHReB+1dBHxfvd0v4c29dtw9MxRJq+YbHQ4Il5p4a6FzN85H3+zPy9f87LR4bjlgUseoFXdVhw8fVD7toiPu6rlVTzb/1kA7v/pfjYc2mBwRCIe9leluLN3uEe3O3486ZZcbv4bZPjBtdthYuuSOx4UN8hebE/yUnRXuDbyWldBy/0/3c+WGqdVUCqloiR6NXRd2+sIsASw6cgm/jz8p9HhiLhFrVxKppYuIt7Pz+zH8/2fB2Dyb5M5ePqgwRGJGKewy6XtdjtPLHwCcAw6tarXyqjwilRYK4lAv0Cev+r8vn30zFGjwhOpksrSL7k8Hrv8MQa3Hsy57HPc/M3NnM0669Htixjmr0px+vd33E+d6rlt/zVh5wPXwpaG0CQNPpoJ5p27PPcehSlFd4V/XfkvrmpxFWeyznDLN7dwLvtcxcYmVYqS6NVQaI1QBrUeBORp6SLi5ZbtWcbh9MPUq1mP/i36Gx2OV1JLFxHfMLL9SC5pegnpWek8s/QZo8MRMUxhl0vP3DKT1QdWU9u/Nk9e+aSB0RWtqFYSf7v4b3Rr3I1Tmad48ZcXDYpOpGoqU7/kcjCbzHx8/cc0DmrM5qObeWrRUx7dvogh/qoUJ/evSbBzcyE21nMV6ZGRfNfOxLRuYLLDZ99Cg4zST9jp8Z7keSrvzSYzn1z/CQ1qNeCPQ3/w70X/9sx7SLWgJHo1dXOHmwH4cuOXmixFfIJzwGdku5H4W/wNjsZ7qaWLiPczmUy8dPVLACQkJbAvdZ/BEYl4h5zcHFeiakKvCTQKamRwRKVjNpl5rv9zALz1+1ukpHn4MnmRaqxM/ZLLqUGtBrw/7H0A/rfyfyxJXuLx9xCpVH9ViueTkwM7dnhk80fr1WD86CAAHv0V+qQU3aO8OB7tSV5I5b012MoHwx3zHUz+bTK/7fut/O8j1YKS6NXUsDbDqOFXg23HtrH+0HqjwxEpVnZuNt9u/hZQK5eSjGg3Aj+zn1q6iHi5vs370q95P7Jys3h++fNGhyPiFb7Z9A2bj26mTo06PNzrYaPDycfdVhKDWg/iiouuICMng5d+ecnIkEWqlDL3Sy6nIW2GEBMVgx07d313F2eyzlTI+4hUishIMF+QBrSUvlK8KPfPuZ/Duae4uE4bJj0xr8Qe5RWumMr7YW2HcWvnW7Fj587v7qzUlk2FtYUT36AkejUVHBjMtZHXAmrpIt5vafJSjpw5Qv2a9enXop/R4Xi1+rXqc1WLqwC1dBHxdhP7TARg6tqp7E3da3A0IsbKtefyzDJHe6N/9vwnoTVCDY4oP3dbSZhMJib1nQQ4rjSxndIXZBFfN3nAZJqFNGP3yd1MWjLJ6HBEyi48HKZMcSTOwXFfhkrxwszeNpsvN36JxWTh4xs/o0b/AcZP2FlC5f3rg17HGmRl67GtrnOQylBUWzjxfkqiV2M3tL8BcPSeFPFmztYkI9uPxM/sZ3A03s/Z0uWrTRogE/FmfZr3cVWjv7D8BaPDETHUt5u+ZeORjYQGhvLgpQ8aHU4BpWkl0a95Py5rdhkZORm8vOJlo0IWqbLK2y+5tFWgwYHBvH3t24Cj9cNa29oyva+IVxg3zlEhvnixxyrF0zPTuW/OfYBjIDy6SXS5t+kRJVTe161Zl3eGvAPAyyteZuPhjZUdofgYJdGrsSGRQ/A3+7P56Ga2Ht1qdDgihcq15/Ld1u8Ax4RdUjJnS5f1h9arpYuIl3u6z9MATFs3jcPphw2ORsQYdrud5xbFAfDQxXdRp0YdQ+MpTGlaSZhMJp7u7di331vzHodOHzIkZpGqqrz9kp1VoOvXr3c7mT6s7TBuvPhGcuw53DP7HnLtuSW+RsRrhYdD374eqxSftHQSe1L3cFHoRcT1jfPINj3iwsp7sxlefDHfzz2i3QiGtx1Odm42986+l1x7boW0W3G3LZx4NyXRq7HQGqGu1hiztswyNhiRIqxKWcXB0wcJCQyhb/O+RofjE+rXqk+/5o59+7st3xkcjYgUp09EH3o06UFGTgZv/f6W0eGIGGLhO4/wx/FN1M6EB0e95pgEzMcNaDWAS5pewtnss9q3RbzU0aNHS9VS4fVBrxPkH8Tv+3/ntSWvVWxwIj5i85HN/G/l/wB4+9q3qR1Q2+CILjBuHLzwAphMjtYujz9e4DzjjUFvUMu/Fsv3Lmf6+ukV0m7F3bZw4t2URK/mrm93PaCWLuK9nAM8QyKHEGAJMDYYH3Jd2+sAmLV1lrGBiEixTCYTj172KABvr36b9Mx0gyMSqWQpKbyy8lUAxiVBvTN216Rf3sqdVhImk4nHLnsMgHfXvKvJCEUMVlgV6JYtWwDYvHlzocmyC6tRrcFW7o68G4BnVz7LyXMnyxWPJhYUX2e323lo3kNk52YzrM0whrYZanRIBaWkwP/9H9jtjsd5Jhd1iqgTwb97/xuAfy38F2ezPT/JaGnawon3UhK9mnMm2lbtX8X+tP0GRyOSn91udw3wjGg3wthgfMzwtsMB+G3fbxw8fdDgaESkOCPbj6Rl3ZYcP3ucaeumGR2OSKVav3Yu81qDORceWvnXwjyTfnkjd1tJjGg3ghZ1WnDs7DE+WvdRJUUnIoUprAr02WefBWDs2LHExcUVaKlQWDXqLS1ugSNwIvNEuSYZ1cSCUhX8sO0H5u+cT4DJn1e7PGp0OI7E+OLF+QfiS5hc1OnmiJux1rSy/9R+Xv7FMZ+JJ9utlKYtnHgvJdGrOWuwlZ7hPQH4fuv3Bkcjkt/mo5vZfnw7AZYABrcebHQ4PqVZaDO6N+mOHTs/bP3B6HBEpBgWs4UJPScA8Opvr5Kdm21wRCKV59VT8wC4YTO0OPnXwjyTfvkyi9nCQz0fAuB/K/+nHsoiBnJWgY4fP77Q56dMmVJkS4UjR464Emkb1m2AnxzL3/r9LX745QclwqVaysrJ4pFvHPvTw8uyaN2pr7Ht2KZOhYgI6N/fce+MpYTJRZ0+mvoRtk8c+/J3x76DILVbkYJ8Kom+bNkyhg0bRpMmTTCZTMyaNcvokKoEtXQRb+Vs5XJ1y6sJDgw2NhgfNKLtCEAtXUR8wZ3d7qR+zfrsPrmbmZt1PJbq4cCpA3y20zF3x8Mr//paYrFAfLzHJjsz2p1d7yQ0MJTtx7fz47YfjQ5HpNpyVoHGxcUxffp0AJ566ikgf0uFESNGFGj78vbbb+evYt8F7IBsezbD/zfc7eSaJhaUqmTa4lfZnn2IhunwxHIKbZNSaVJSYPz48xXneWO5cHLRIs4zYmNjWfPhGjrV7QQBQL+Ka7fiTls48U4+lURPT0+nS5cuvPWWJufxJGcSfXHyYk6cPWFwNCLnOZPozmSwlI6zBc7Pu37mVMYpY4MRkWLV8q/FfT3uA+DlFS9jd/ZtFKnC3lz1Jlm5WVx50ZVcumKP4xLs5GTHJGBVRHBgMLHRji/ek3+bbHA0ImK1Wmnfvj0A7dq1A/K3VJg1a1aBti8//HD+qs5hw4YB8O9ejv7JdIbLbrjMrffWxIJSVZzJOkPcakfLk38vheDMv54wqh1bSS1bxo1znF8Uc55htVqJjo7mvevfcyyIguDWwRXSbsXdtnDifXwqiT548GCeffZZRo4caXQoVUpk/Ug6NOxAdm42s7fPLryPlEglS0lLYfWB1ZgwMaztMKPD8UkXN7yY1vVak5mTybyd84wOR0RKcP8l91PDrwarD6xm2Z5lRocjUqFOZZzivUTHF9VHLnvEURHWt2+VqUDP64FLH8DP7MeyPctYc2CN0eGIVF9/fc9tarczceJEGjRoUGCVkib/u+8+x4D3iJ4jGNVxFACv/vGqW2+viQWlqnhz1ZvYMo/R/ASMT8zzhFHt2Nxp2eLmecZlzS7jmibXgAn+t/F/KmyRfHwqiV5aGRkZpKWl5btJ4ZwVq7PmvlZ4HymRSvbdFsfl3b2a9aJxUOP8T2qgxy0mk+l8S5e/qvpFxHs1rN2QO7rcAcCrK937Qi7iqz5Y+wEnz52kTf02DG0z1OhwKlR4SDg3d7gZcMx7ICIGyNMvudEllxDXrBmdO3cu0FKhpMn/GjZs6Fr32f7P4m/2Z97OeSzavajEEDSxoFQFJ86e4MVfXwTgmZbjCKT4NimVws2WLe56pvczWOwWVh1dxYJdCzwYqPi6Kp1Ef+GFFwgNDXXdmjVrZnRIXsvZ0uWn1ETOmgvpIyVSyZx9vJ1/my5FTRgihXIOkP247UeycrKMDUZESvSPnv8AHPvs3tS9BkcjUjFy7bm8+fubAEzoOQGzqUp/JQFgQi/H5MFfbfyKfan7DI5GpJopol+yNSen1C0V8vYyblm3Jfd0vweAx39+3L2K1b+KgfwPHSrLTyJiuJd+fYmT507SKawTo+6PL7FNSqVxo2WLuy5teykP9noQgIlLJqoaXVyq9BnrE088QWpqquu2b59OWIsSZY2iWWAYZwJgQas8TxjV00qqtRNnT7AkeQkA17W97vwTxU0YIoXqGd6TsNphpGaksnTPUqPDEZEStGvQjn7N+5FrzyUhMcHocEQqxMJdC9l5YichgSGM7TzW6HAqRZQ1ij4Rfcix5zAlcUrRK+pqOxHPK6lfchEKm/zvwl7GT/V+iqCAINYcWMM3m74pPo48xUAdhw5l1rBhqj4Xn7I/bT+vr3odgOeveh6L2eJd7diKiMVmsxEXF1eqyXsfu/wxavrVZGXKSubvnO/hQMVXVekkemBgICEhIfluUjiTycR1ra4F4Ic2eZ4wqqeVVGuzt88mOzebDg07EFk/8vwTZTwBrs4sZgvD2jh6yquli0gF8mDi697u9wLw/tr3dQWJVEnvrnkXgNs630btgNoGR1N5/t7j7wBMXTu18H1bV9uJVAx3+iUXwp3J/8Jqh/FIr0cAiFsaR679r+8qF54XXFAMZMrN5bo5c7Dm5JTtZxIxwDPLnuFc9jmuuOgKhkQOMToct9lsNiZNmlSqJHrjoMauc/K4pXGqRhegiifRpXSGRTkmRpndBnJNGNvTSqq1H7b9AFxQhQ5lPgGu7lxzHmyZpYO/SEXwcOJrRLsRNA5qzMHTBzX4JVXO/rT9fL/1ewBXG4TqYkS7EYTVDsN22uY613HR1XYiFcfD/ZIv9FDPhwgNDGXTkU2O43Zh5wUqBhIfl5KWwgdrPwDg+f7PYzKZDI6o4j16+aOqRpd8fCqJfvr0adatW8e6desA2L17N+vWrWPvXvUM9YQ+EX0ICgjCFgxJ371nfE8rqZaycrKYu2MuAMPaDsv/ZAWfAFdVV7e8mlr+tdh/aj9rD641OhyRqqUCEl/+Fn/u7nY3AO+seccTUYp4jalrp5Jjz+HKi66kQ1gHo8OpVAGWAO7qehcA8Ynx+Z9Ugk2kYnmwX/KFQmuE8uCljv7Jzy6ciH18TMHzgqAgFQOJT3tlxStk5WbRO6I3V0ZcWfhKXtSSzGazkZSU5LoB+R67U5WuanS5kE8l0desWUO3bt3o1q0bABMmTKBbt248/fTTBkdWNQT6BTKg1QAAfgy2KTEphvhl7y+kZaTRsFZDejTpUXCFCjwBrqpq+NXgmpbXADB722yDoxGpYioo8TU+ejxmk5klyUvYfGRzubYl4i2yc7Nd/cCdX0qrm5joGEyYmL9zPjuP7zz/hK62E6l47vRuLmMS8B+X/oPa/rVZe+xPfmp1QaItJwfS01UMJD7rcPph1/H7qSufKnwlL2tJFh8fT3R0NNHR0cTExAAQExPjWhYfH1/CFhxUjS55+VQSvW/fvtjt9gK3Dz/80OjQqoyhkUMB+HHbjwZHItWV82/v2shrHROVFMabJi/xEUPb/LVvb9e+LeJRFZT4ahbazDWfwXtr3ivXtkS8xexts9l/aj8NajVgZPuRRodTIUqavKxl3ZauopWEpDyTB+tqOxHjlSMJWL9Wfde8B8/0gXxpdOd5gYqBxEe9tvI1zmafpUeTHlzd8uqCK3hhS7LY2FgSExNJTEwkIcFxvE1ISHAti42NdWs7RVaje1HVvVQen0qiS8W7NvJaTJhItCVy4NQBo8ORasiZ5HUmfcUzro10TBz8+/7fOXT6kMHRiFQhFZj4cp6wf/jHh6Rnppd7eyJGey/RMSB0V9e7CPQLNDiaiuHO5GXOXvAfrP2AzJzM808owSZiHA8kASf0mkANvxqsDIfFrf5KtVx4XqBiIPExJ8+d5O3VbwPw5JVPFt4L3QtbklmtVqKiolw3IN/j4iYMvlDeavSfd/3sdVX3UnmURJd8GgU14pKmlwBq+yCVb9uxbWw7tg1/s7+rSks8o0lwE6KsjpOHn3b8ZHA0IlVMYYkvD1SnXNPqGlrVbUVaRhqf//m5x8IVMcKuE7uYt2MeALHd3av+qqqGthlKk+AmHDlzhJmbZ+Z/Ugk2EWN4IAnYOKgxMVGOthHPPtZTA2JSJbz1+1ukZaTRMaxjwTnLnOe7Vbznf959++VFz3hd1b1UHiXRpQC1fRCjOAdu+jTvQ0hgiMHRVD1q1yRSvJLaMBQrb+LLQ9UpZpOZ8dHjAcdkjCK+LCExATt2BrYaSMu6LY0Ox6NKO3mZn9nPNXmwszpfRAzmofZsj172KP5mfxbbVvBrS38NiIlPO515mtdWvgbAv674F2ZTnn0k7/luz55w661e25LMarUyceLEgtXnpSh6+Wevf2IxWVhwYDnrwryr6l4qj5LoUoCzB+uCnQs4m3XW4GikOnG1colUK5eKMKTNEADm75yf//JxEQHca8NQIg/3hLyty21YTBZWpqxky9EtZY9LxEDZudl89MdHAMRGV70q9JImL3vllVcKvObuqLtdkwdvPbq1skMWkQt5qD1bs9Bm3NH1DgBe+vWlUr22XIP5IhVgSuIUjp09Rut6rbmpw03nnyjsfHf6dPjtN6+8AsNqtRIXF5c/iV7KopfmdZpzY4cbAXjlsguerEJV91I8JdGlgM6NOhMeEs7Z7LMsTl5sdDhSTaSeS2XZnmWA+qFXlO5NuhNWO4xTmadYvme50eGIVE0e7gnZOKgxgyMHA/Dhug/LGZyIMRbsXIDttI0GtRq4BnSrkqImL5s+fToAAwYUbFHXLLQZg1s79m3nAIOIGMxD8xI8ctkjgOPqz23Htrn9Oo8M5ot4SHZutqsK/fHLH8ditpx/sqjz3fR0Q1uSuT0QVcail0cvexSALzqb2Vu3iHkPpEpTEl0KMJlMavsglW7+zvlk52bTrkE7WtVrZXQ4VZLZZGZIpCN5oX1bxKG0bRhK5KHLwfO6o8sdAHyy/hNycnPKvB0Ro3z4x4cAjOk0hgBLQKlf7+3VmUVNXta+fXsAGjZsWOjrnNWq2rdFvIgH5iVoU78Nw9oMw46d11e+7rnYRCrRt5u+ZV/aPsJqhzG289j8T1bA+a4nuD0QVcailyhrFP1b9CeHXF5PGOeVVfdSsZREl0I5J4z4cduP2O12g6OR6kCtXCqH5jwQya+kNgzx8fGl26CHLgfPa1jbYdSvWZ8Dpw4wf+f8Mm9HxAgnzp5g1pZZwPmkcWn5UnXmkSNHANi8eXOJA3PD2gyjbo26pKSlsGj3IkPiFREPKKSv8oReEwDHIOLxs8eLfKnHB/NFPOR/K/8HwL3d76WGX438A9oVcL5bqcoxCOCsRp+y7XNO9uzqOz+zeISS6FKofs37UdOvJvvS9rH+0Hqjw5EqLic3hznb5wBq5VLRrml5Df5mf3Yc31Gqy0tFqqqi2jA4l8XGlqF/s4cuB3cKsAQwptMY4HxFr4iv+OLPL8jMyaRzo850bdzV6HAq3Pz5joGusWPHljgwF+gXyC0dbwHU0kXEZ1yYMC+ir3KfiD50bdyVM1lnmJI4pcjNeXwwX8QDftv3G6v2ryLAEsC93e8FChnQ9vD5blmVaSCqHIMAA1sNpGNYR05nniZ+jfbP6kZJdClUTf+aXN3yagBXclOkovy+/3eOnjlKnRp1uKzZhbN0iCcFBwbTp3kfQC1dRKDoNgzOW74JiErDA5eD5+Ws4J21ZVaxFW0i3sY58ONsS+QuX63OfOSRR0o1MOfct2dsnkFaRlplhysipXFhwvyVV4rsq2wymZjQ01GN/ubvb5KZk1noJitkMF+knJxV6GM6jaFRUKOiV/Tw+W5ZlHkgqoyDACaTiUd6OeY9eH3V62RkZ3jgpxBfoSS6FMk52dFPO34yOBKp6mZvnw04RnX9Lf4GR1P1ac4DEd/TzdqNLo26kJmTyecbPjc6HBG3bDqyid/3/46f2Y8xnceU6rW+Wp1Z2oG5Hk160K5BO85mn+XrjV8bEbKIuKOwiQgff7zYvso3d7wZa5CVA6cO8NXGrwrdbIUN5ouU0Z6Te/h287cAjG091usHtMs1EFXGQYBRnUbRNLgpttM2vt6kY3d1oiS6FGlQ60EArNi3gtRzqQZHI1XZ3B1zAbg28lqDI6kehrRxTC66fO9yVb2J5GG1Wpk4caLXfmF1VqyqpYv4io/WOVqUXBt5LWG1w0r12upSnWkymbi9y+2AWrqIeLXCJiLMzQWTKf+yPH2VAywBPHDJAwC8+turmmtMfMKbv79Jrj2Xq1tezbKvl3n9gLYRA1F529y89ftbHt++eC8l0aVILeq2oG39tuTYc/h5189GhyNV1OH0wyTaEgEY0GqAwdFUD63rtSayXiTZudmayEwkD6vVSlxcnNcm0cd0GoOf2Y81B9bw5+E/jQ5HpFjZudl8sv4ToPStXKBqVGe6OzB3a+dbMZvMLN+7nJ3Hd1ZSdCJSKkVNRPjSS8X2VY7tHkst/1qsPbiWJclLin0Lbx/Ml6rvVMYpEpIcA9f/7PnPajOgXRYx0TEEWAJYtX8Vq/evNjocqSRKokuxnNXozkphEU+bt2MeAN0ad6NxUGODo6k+nPv2T9vVrknEVzSs3ZBhbYYB5yt8RQxx4cR6hViwcwG20zbq16zvugKqunF3YK5pSFPXXEQf//FxZYQmIqVV1ESEjz5abF/lejXrua42eWt18RWr3j6YL1Xfh+s+JC0jjbb12zKo9SCfG9CuzIGosNph3NzhZqD4fdtms/Hwww/z8MMPe0X7GykfJdGlWHn7ouvyM6kIc3c6Bmicf2tSOVwDZDvnat8W8SG3dr4VgC82fkGuPbeEtUUqwIUT602dWuhqH693JINHdxpNgCWgXG/p89WZbgw6OJNsH6//WPu2iLcqaiLCEvoq39fjPgC+2/IdKWlFfw4Abn1eiFQEu93O26vfBuAfl/4Ds8n30oWVPRB1/yX3A/DFn19wOP1woevYbDZeffVVXn31VSXRqwDf2yukUvWO6E0NvxrsP7WfjUc2Gh2OVDE5uTmuSnRnUlcqR5+IPgRaAtmbupctR7cYHY6IuGlw5GBCA0NJSUvhl72/GB2OVDeFTawXG1sg2XM68zTfb/0egLGdx5b7bX26OtPNQYcR7UYQEhhC8slkft37ayUHKSJuK8NEhB3COtAnog859hwSEhOKXtHNzwuRirA4eTFbj20lOCC40GO3zw9oV4BLml7CJU0vITMnk/eT3jc6HKkESqJLsWr616Rf836A2j6I5yXZkjh29hghgSH0DO9pdDjVSu2A2vSO6A2oXZOIL6nhV4Mb2t8AwGcbPjM4Gql2CptYLycHduzIt+j7rd9zJusMreq2okeTHpUYoJdxc9ABoJZ/LUa2HwnA539+XplRikgl+HuPvwMwJWkKmTmZBVcoxeeFSEV4Z/U7gOOqx+DA4ALP+/SAdgW6v4ejGv3dNe+SnZsNOKrP582bx6effsrMmTNd686cOZNPP/2UefPmqSrdRymJLiXK2/ZBxJN+2uEYmLm65dX4W/wNjqb60b4t4ptGdxoNwNebvi78i7hIRSlqYr3WrfMtcg7wjO40GpPJVFnReR83Bx2cRnUcBcBXG78iKyeroqMTKdKyZcsYNmwYTZo0wWQyMWvWLKND8nnXt7uexkGNOXj6ILO2zCq4Qik/L0Q8aX/aftff5b097jU2GB9zU4ebaFirISlpKXy35TsA4uPjGTRoEGPHjuXZZ591rfvss88yduxYBg0aRHx8vFEhSzkoiS4lcvaqXr5nOacyThkcjVQlzgpo9UM3hjOJvjR5KWeyzhgcjYi4q2/zvjQOaszxs8ddLbFEKkVRE+vlaWtw7Mwx5u10/F06k8LVVlGDDrVrF9rzuH+L/oTVDuPY2WP8vOvnSgxUJL/09HS6dOnCW28VPxGmuM/f4s/4qPHA+YrffNwcpBTxmDz9999Pep8cew5XXnQlHcM6Gh2ZTwn0C2R8tGPffvP3NwGIjY1l7ty5TJ8+naeeesq17lNPPcX06dOZO3cusbGxhsQr5aMkupSodb3WtKzbkqzcLBYnLzY6HKkijp89zqr9qwAY2GqgwdFUT+0btKdZSDMycjJYmrzU6HCkilI1m+dZzBZu6XALAJ/9qZYuUsmKmljvL99s+obs3Gy6Nu5K+4btDQnRaxQ26DB2LPTsWWjPYz+zHzdefCOgli5irMGDB/Pss88ycuRIo0OpUmKiY7CYLCzds5SNhy+Yb8yNQUqRMilssto8/fezWlzElOWvAefbDknp3NP9nnz7ttVqZeDAgYwZM4brr7/etd7111/PmDFjGDhwoNri+Cgl0aVEJpPJVSmsvujiKT/v+plcey4dGnagWWgzo8Oplkwm0/mWLuqLLhVE1WwVw9nS5bst33E687TB0Ui1U8zEes7k7+iOoys5KC+Vd9Dht9/gk0+K7XnsrN6fuWUmZ7POGhCwSOllZGSQlpaW7yYFhYeEMzDCUTz0ytJXCq5QwiClSKkVNlntBf33v4+0cyD3JGE1Grjm5pDSCQ8JZ3jb4QAkJBUzebD4PCXRxS15eyfb7XaDo5GqwNkP3fm3JcZwDpCpL7pUFFWzVYzuTboTWS+Ss9lnXf0XRYy2L3Ufy/YsA+DmjjcbHI0XcQ46nD5dYs/jXs16cVHoRZzOPM3s7bMrN06RMnrhhRcIDQ113Zo1U4FMUYY1HgbA19u+LrxVajGDlCKlUtRktStW5DsWvfvX/N93hw0kwBJgQKBVg7Oly8d/fJxvENxqtTJhwgQmTJig6vMqQEl0cUu/5v0IsASQfDKZrce2Gh2O+Di73a5+6F6if4v++Jn92HZsG7tO7DI6HBFVs7nJZDK5qtHV0kW8xZcbv8SOnSsvupKLQi8yOhzv40bPY7PJ7KpGV0sX8RVPPPEEqamprtu+ffuMDslr9WjQA45CenY6n2741OhwpCorarJak8l1LNrSABa2BHMujO95vwFBVh3XtLyGiNAITpw7wbebv3Utt1qtTJ48mcmTJyuJXgUoiS5uqR1Qm94RvQG1fZDyW39oPQdPH6SWfy2uuOgKo8Op1kJrhHJZs8sANEGheAVVs7nPmWibt2MeR9KPGByNSJ5WLp3UyqVQbvY8du7bs7fNJvVcamVHKVJqgYGBhISE5LvJeTabjaSkJJKSkli8eDGscSx/45c3SEpKwmazGRugVE1FDdz26uU6Fk2JdiweUqsLEe17Vn6MVYjFbOHuqLsBmJI4xeBopKIoiS5uc/VF36G+6FI+zoGY/i36E+gXaHA0MqjV+XZNIkZTNZv72jZoS7Q1mhx7Dt9s+sbocKSa23p0K0m2JPzMfvzt4r8ZHY73cqPncedGnWnfoD0ZORnM3DKz0kMUEc+Kj48nOjqa6OhoHn30UVgPZMPm1M1ED4kmPj7e6BClKipu4HbcODJ2buXjKx0DXrHXP2dgoFXHnV3vxGKysHzvcjYf2Wx0OFIBlEQXtzmT6EuTl3Im64zB0Ygvc/VDb6V+6Eay2WzExcURXcdRgrBw10IyczINjkqqO1Wzlc4tHW8B4OtNXxsciVR3zir0Aa0G0KBWA4Oj8XIl9Dw2mUxq6SKGOn36NOvWrWPdunUA7N69m3Xr1rF3715jA/NRsbGxJCYmkpiYyFNPPQVn4GLzxQDc+OKNxMbGGhyhVFnFDNx+dzqRY9lpNA1uysDWA0veVkqKYzt5JsOW/JqGNGVom6GAJhitqpREF7e1a9COi0IvIiMngyXJS4wOR3xUWkYav+77FYDBkeqHbiSbzcakSZOol1mPRrUbkZ6Vzq97fzU6LBEpBWfF79I9Szl0+pDB0Uh15hzIubmDJhT1hFGdHEn0hbsWql2TVLo1a9bQrVs3unXrBsCECRPo1q0bTz/9tMGRVR1d7V0B+CnlJ85kq0BNKlARA7fvJ70POKqn/cx+xW9j6lSIiID+/R33U6dWULBezM1BhNhox6DYR398xLnsc5URmVQiJdHFbSaTyVWNrr7oUlaLdi8iOzebyHqRtKzb0uhwBMckZs7qA+3b4mmqZqtYzes0p0eTHuTac5mxeYbR4Ug1tenIJjYd2YS/2Z/hbYcbHU6V0Lpea1e7JrV0kcrWt29f7HZ7gduHH35odGg+KW87l2effRaAz579DE7A6ezTPDL1EYMjlOpm94ndLNi1AIC7ut1V/MopKTB+/PlJSnNzITa21BXpzqugfXIOgFIMIgxoNYCLQi/i+NnjfLvp2yLXu5BP/36qESXRpVQGtXa031BfdCkrZ5LW+bcklSvvxEZJSUkAJCUl0dbSFoAft/xoZHhSBamareLdePGNgFq6iHG+3uj42xvQagB1atQxNpgqxHmlieY8EPFtedu5vPzyywC8/N+X+XvPvwNgsyppJpVr2rppAFzd8mpa1G1R/Mrbt59PoDvl5MCOHaV6T+dV0D6XJC7lIILFbOHubn9NMJrk/gSjPvv7qWaURJdSuarFVfiZ/dhxfAc7jpfuQ1PEbre7BmCOrTqmA4QB8lbCxMTEABATE8OTtzwJdth0fBNrd6zVKLh4jKrZKt6NHRxJ9KV7lnI4/bDB0Uh15BzAcQ7oiGc4k+iLdi/i6JmjBkcjImVltVqJiooiKiqK/v37A9C/f3/+de2/MJvMrDq4ii1HtxgcpVQXObk5fLD2AwBXsrdYkZFgviB1aLFA69YVEJ0XKsMgwl3d7sJsMrNszzK2HdtWwQFKZVISXUolODCYKy66AoD5O+cbHI34mi1Ht7A3dS8B5gA+e/4zJWkNkLcSJiHBMdlJQkICicsT6VC3AwDf/fmdRsFFfIhauoiRNh/ZzMYjG9XKpQK0rtearo27kmPP4bst3xkdjoh4WNOQpgyJHALA1KRq2GNaDDFv5zz2n9pPvZr1GNFuRMkvCA+HKVMciXNw3MfHFzk5dl5FXQXtvPnE980yDCI0DWnquvL+o3UfFblelfj9VDNKokupXdPyGgBXDy0Rd83bOQ+AbvW6QVbh66gXWMXKWwkTFRUF4Pr3DZ1vAGDFkRVGhigibsr7eamWLmIU59/c1S2vpm7NugZHU/Vo3xapWqxWKxMnTsRqtQJwd5SjEvijPz4iMyfTyNCkmnBOKHpb59sI9At070XjxkFysmNizeRkx2M3FHUVtHNZfHx8GX6CSlbGQYQ7utwBOPbtnNycQtepEr+fakZJdCk1ZxLdOUGkiDtsNhvfrHX09GyW2QwofJRVvcCMYbPZaJHj6If3q+1XMGkUXMTb5f28dLZ9WJK8RC1dpFI5+3WrlUvFcO7bC3cv5PjZ4wZHIyLlYbPZiI+PJzY21pVEvzbyWqxBVo6cOcIPW38wOEKp6g6ePsgP2xx/Z84BHLeFh0Pfvm5VoDsVeRX0X8tiY2NLF4NRyjCIMLztcOrWqMv+U/tZuHthoetUmd9PNaIkupRalDWKejXrkZaRxu/7fzc6HPER78S/w68pvwLwzUuOL9waZTVW3kqY+Ph47hx4J5yDM/Yz0ET/PyK+pEXdFnRv0r1cLV10JZCU1tajW9lweAN+Zj+ua3ed0eFUSW3qt6Fzo85k52arpYuIjyusWMjP7MftXW4H4MM/PjQoMqkuPvnjE7Jzs+kV3osOYR3yPVcR54GFXQV9adOmRKWmEhUW5hpM8gmlHEQI9AtkdKfRwPmJXC9U3FXiUVFRvvX7qSaURJdSs5gtXNXiKgAW7FRLF3FPt2HdIADqBdQj/hlHQtY5yjp37lx69eqlXmCVzGq1EhcXh9VqdYyCr06kX/N+jidbaRRcxBsV1zvx8tDLgbK3fdCVQFJaeVu51KtZr8T1NVBTNn9r76hG/2bzNwZHIiIV4faujiT6T9t/4tDpQwZHI1WV3W7noz8c/bnv7Hpngecr4zzwLqDj0KHQvz9ERMDUqj0XgPP3PHPzTE6eO2lsMOIRSqJLmQxoNQCA+bs0uai4JynVkewZ1HYQ3aO7A+dHWX/77TcGDRqkXmAGco6C3xR9k2NBS42Ci3ij4nonvh77OqCWLlJ5nEl0d1u5aKCmbG7s4Pj9Lti5QF/CRXyMOxMHtmvQjkubXkqOPYdPN3xqcMRSVSXZkth4ZCM1/GpwU4ebKv39m9rtJJhMmHJzHQtycyE2FlJSKj2WyhJljaJjWEcycjL44s8vil33wvkSxDspiS5l4uyLviplFannUg2ORnyBcyJa599OXuoF5j1c/z/N4Ez2GWODEZECiv28XJhIl4ZdyLXnMnPzTLe2586Xe5HCbDu2jfWH1uNn9mNEuxFGh1OltWvQjg4NO5CVm6WWLiI+xt2JA50tXZyVwiKe5vzbGtFuBKE1QoHKPQ9slJaG2W7PvzAnB3bs8Nh7eBuTyeSqRv9w3YfFrpv3KnHxXn5GByC+KaJOBJH1Itl+fDuLkxfry5MU68TZE6w5sAZwJGnN6eZ8o6xWq7XAwSJvXzCpPK3qteKi4IvYe2ovu+27uYIrjA5JRPIo6fPyljO38MfCP5i1dRax3UsegIyPj2fSpEn5ljm/5ANMnDiRuLi48gcuVY5zQtH+LfoX28rFZrO5voTn/YLuVNjftBR048U3snHpRr7Z/I2r9YOIeL/Y2FiGDx8OOD77YmJiSEhIcB23nZ9/N3e8mYfmPcT6Q+tZd3AdXRt3NSpkqYIyczL5bMNnwPkBG6jk88DISDCbHRXoThYLtG7tme17qTGdxvDYgsdYtX8Vm49spn3D9kaHJOWgSnQpM2dLF/VFl5Is2r2IXHsu7Ru0p2lIU42yerlBkYMASDyRaHAkIlJa17e7HoCFuxa6daWYrgSSspq1ZRYAN7S/odj13K3ClOL97WJHX/T5O+eTlpFmcDQi4i53Jw6sV7Me17V1TND80TpVo4tnzd42m2Nnj2ENsua7MrxSzwPDw2HKFEfiHBz38fFuT9TpqxoFNWJImyFAydXo4v2URJcyc374Ott0iBSluFYuF1IvMONd08rx/zR/p+Y8EPFmhX1etm3QlnYN2pGVm8Wc7XPc2oY7X+5F8kpJS2H1gdWYMDG87fBi19VAjWdc3PBi2tRvQ2ZOJj9t/8nocESkAjgrhD/d8ClZOVkGRyNVibOVy9jOY7GYLa7llX4eOG4cJCfD4sWO+3HjPLt9L3VHlzsA+Hj9x2TnZhsbjJSLkuhSZv1a9MNisrD9+HaSTyYbHY54MVcSvZV7SXRVqRurf4v+mE1mNh/dTEpa1Z3oRcTXFfV56axGn7nFvb7oIqXlrELv1awXjYMaF7uuBmo8w2Qyad8W8XElFQsNbD2QRrUbceTMEX7aocEy8Ywj6UeYvX02kL+Vi0tKCixejP+hQ5UTUHg49O1b5SvQ8xrSZggNajXg4OmDKlTzcUqiS5mFBIbQM7wnoJYuUrRdJ3ax68Qu/Mx+9InoY3Q44oZ6NevRvUl3AH7e9bPB0YhIaTkTbT/t+Ilz2efcfp2uBBJ3OZPozr81qRzOOYjmbJ9DRnaGscGISKmVVCzkZ/ZjbOexQNkmGLXZbMTFxWlScMnn8z8/Jzs3m2hrNB3COuR/cupUiIiA/v3pOHQos4YN03lgBQiwBDCm0xgApq2bZnA0Uh5Koku5ONtzzN+l0TQpnHOApVd4L4IDgw2ORtyldk0ivqt7k+6Eh4RzOvN0qQbCdCWQuOP42eMsSV4CUOqJ5TVQUz6XNL0Ea5CVU5mnWJy82OhwRKQCOCuFf9j6A8fOHCvVa202G5MmTVISXfJxDsgUqEJPSYHx410TfZpyc7luzhysOTmVHWK1cGfXOwH4fuv3pd63xXsoiS7l4pxcdOGuheTk6sNWCipNP3TxHq4k+s4F5NpzS1hbRLyJyWRiRNsRAMzcrLYP4lk/bvuRHHsOHcM60rpe61K9VgM15WM2mV0TD2rfFqmaOjXqRJQ1iqzcLD7/83OjwxEf9+fhP0myJeFv9mdUp1H5n9y+3ZVAd8nJgR07Ki/AaqRL4y50bdyVzJxM7ds+TEl0KZceTXsQGhjKiXMnSLIlGR2OeJmc3BwW7V4EuNcPXbxHr2a9qO1fmyNnjrD+0HqjwxGRUrq+vaPNxvfbvtcERuJRauViLOe+/d3W7zTILVJFOSuG3WnpYrPZSEpKct2AfI9VlV69fbTO8Tfk7MmdT2QkmC9ICVos0Lp0A+TiPmc1ulq6+C4l0aVc/Mx+9G/RH0ATJEgBibZETpw7QWhgqKvHtviGAEsAfZv3BTTngYgv6h3Rm7o16nL0zFF+3fur0eFIFXEm6wxzd8wFlEQ3St/mfQkJDOFQ+iFWpqw0OhwRqQCjOo7Cz+zHmgNr2Hh4Y7HrxsfHEx0dTXR0NDExMQDExMS4lsXHx1dGyOKFsnOzmb5hOgB3dLmj4Arh4TBliiNxDo77+PhqNeFnZRvdaTR+Zj+SbElsOrLJ6HCkDJREl3JT72QpijP52r9Ff/zMfgZHI6WlfVvEd/mZ/RjWdhgAM7eo7YN4xoKdCzibfZaI0Ai6Nu5qdDjVUoAlgCGRQ4DzVwWISNXSsHZDhrYZCpRcjR4bG0tiYiKJiYkkJCQAkJCQ4FoWGxtb4fGKd1qwcwEHTx+kQa0GDI4cXPhK48ZBcjIsXuy4HzeuMkOsdhrUasDg1o7/i0/Xf2pwNFIWSqJLuTnbdKzYt4LTmacNjka8ifqh+zbnvr1873LOZp01OBoRKS1npfDMLTOx2+0GRyNVgXNAZkS7EZhMJoOjqb60b4tUfc6WLtPXTy+2LZvVaiUqKsp1A/I91hwU1ZdzAGZ0x9EEWAKKXjE8HPr2VQV6Jbm1860ATN8wXW3ZfJCS6FJureq2okWdFmTlZrE0eanR4YiXOJ15mhX7VgDqh+6r2jdoT5PgJpzLPscve38xOhwRKaUBrQZQ068me1P3svbgWqPDER+XnZvND9t+ANTKxWiDWg8i0BLIjuM7dDm4SBV1beS1NKjVANtpGz/v+tnocMTHnDx30nW10u1dbzc2GMlnaJuhhASGsDd1r75j+yAl0aXcTCaT2j5IAcv2LCMrN4vmdZrTqm4ro8ORMjCZTAxoNQDQvi3ii2r512JQ60EAzNysli5SPsv3LOf42ePUr1mfyy+63OhwqrXgwGCubnk1oJYuIlVVgCWAWzrcAsCnG9xr+2C1Wpk4caKqz4WvN35NRk4GHcM60q1xN6PDkTxq+tfkb+3/BjiuNBHfoiS6eIQz0abJRcXJ2Q/9mpbX6JJvH6YBMhHf5qwYnrV1lrGBiM9ztnIZ3na45jnxAiPajQA054FIVTam8xjAMRCenple4vpWq5W4uDgl0cU18HJr51v1XdwLje08FoCvNn7FuexzBkcjpaEkunhE/xb9MZvMbD66mZS0FKPDES+gfuhVg7PSbd3BdRxOP2xwNCJSWkPbDMXP7Mefh/9kx/EdRocjPsput7sqnp3JWzHWsDbDMGEi0ZbIvtR9RocjIhXg0qaX0qpuK9Kz0vlu63dGhyM+Ym/qXpbuWYoJE6M6jjI6HClEn+Z9CA8JJzUjlTnb5xgdjpSCkujiEXVr1qV7k+7A+Qpkqb4OnDrAxiMbMWGif4v+Rocj5RBWO4wujboAqB+jiA+qW7MufZv3BdTSRcouyZbEvrR91PavrcFxL9EoqJGrrY6SayJVk8lkYnSn0YD7LV2k+rHZbMTFxWGz2QD4fMPnAPSO6E2z0GZGhiZFMJvMjOnkuNLkk/WfGByNlIaS6OIxA1qqd7I4OJOt0U2iqV+rvsHRSHmpL7qIbxvRdgSgtg9Sds6/nUGtB1HTv6bB0YiT9m2Rqs+ZaJu3Yx5H0o8YHI14I5vNxqRJk1xJdOeAi/NvR7yTs6XL7G2zOX72uMHRiLuURBePuaaVozLp510/k2vPNTgaMZJauVQtrr7oOxdgt9sNjkZESsvZfuO3lN+wnbIZG4z4JLVy8U7O/4+lyUvPfwFPSYHFix33IuLz2jZoS/cm3cmx5/Dlxi+NDkcq2IVV5aW14dAGNhzeQIAlgL9d/DcPRyee1DGsI10adSErN4uvN35tdDjiJiXRxWN6hvckKCCII2eO8MfBP4wORwxit9tdlejOCmbxbVdcdAWBlkD2n9rPlqNbjA5HREqpaUhTLml6CQA/bPvB4GjE12w/tp2NRzbiZ/ZjSOQQo8ORPFrVa0WnsE7k2HP4cduPMHUqRERA//6O+6lTjQ5RRDzAWVGsli5V34VV5cWtl5SU5LoBJCUlMfnnyQD0b9afujXrFnhNeRL04nnOavTpG6YbHIm4S0l08ZgAS4Cr76raPlRffx7+k4OnD1LLvxa9wnsZHY54QE3/mlwZcSUA83fONzgaESmL4W2GA0qiS+k5+233bd63wBdyMZ6zGn3W2s9h/HjI/etq0NxciI1VRbpIFXBLx1swm8ysTFnJzuM7jQ5HvEB8fDzR0dFER0cTExMDQMz4GD5K/AiA4N3BBV7jboJeKs+ojqMwYeKXvb+w+8Ruo8MRNyiJLh7lbPugRFv15RxA6RPRh0C/QIOjEU9xtXTRAJmITxrWdhjgaLl2JuuMwdGIL3EOvDgHYsS7XN/uegDm7lvMWfMF7RRzcmDHDgOiEhFPahzUmKtbXg2oGr0qKqqq3HkrLOkdGxtLYmIiiYmJJCQkAPDom49CKNT2q81L416q1J9ByqZpSFOuankVoH3bVyiJLh7lbN/xy95f9CW9mlI/9KrJuW8vSV5CZk6mwdGISGl1CutERGgE57LPuVpuiZTk+Nnj/Lr3V+D8QIx4l66NuxIeEs7Z3AwWtTLlf9JigdatjQlMRDwqb0sXzVFUtRRaVR4T41oWHx9f4DVWq5WoqCjXDWBnLcdVCjd3vJkWzVoAZUvQS+Ua2+mvli7rp2vf9gFKokvpFTNhUdv6bQkPCScjJ4Nf9v5iQHBipIzsDJYmLwXOTzQrVUPnRp1pWKsh6VnprExZaXQ4IlJKJpOJYW0cSdDvt35vcDTiK37a/hM59hw6hnWkeZ3mRocjhci7b/9wd29H4hwc9/HxEB5uYHQi4inXt7uemn412XZsG4m2RKPDEQ8qrKo8ISHBtSw2NrbkjVhggc1RzDam8xjX4rIk6KVyXd/esW9vPbZV+7YPUBJdSqeECYtMJtP5tg871fahulmxbwVns89iDbLSoWEHo8MRDzKbzK7LSLVvi/im4W0d7Th+3PYjufbcwlcqZqBcqh9nKxdnkla8k/P/50fzDuy7dzv24eRkGDfO2MBExGOCA4O5rt11gKNiVaqOwqrK8z62Wq2Fv/Cvc7amdjs3P3Uzp7JO0SS4CX0i+rief6BjR9bPmVO+BL1UqJDAEO3bPkRJdHFfSopbExapd3L15fw/v7rl1ZhMphLWFl/jmvNgl+Y8EPFFfZr3ITggmEPph1i9f3XBFUoYKJeqx2azERcXV+jl3Fk5WczdMRdQEt3b9WvRj9r+tdl/aj9r/Y5A376qQBepgpwtXb748wuyc7MNjkYMleecrdEll5BTyzH/xaiOo7CYLa7n6994I52GDiVq7drSJeilUjlbunz+5+fat72ckujivu3bzyfQnQqZsMg5McIfh/7g0OlDlRWdeAH1Q6/anC161hxYw4mzJwyORkRKK8ASwKDWg4DzFcYubg6US9Vis9mYNGlSoUn05XuXk5qRSsNaDbmk6SUGRCfuquFXwzV3SVHtmoobMBER3zCw1UDq16zPofRDLNq9yOhwpAJYrVYmTpxYfHL7gnO2VP9cfjjlaAMyptOYIs/p/A95Njej44rnDGg1gAa1GnA4/TALdy00Ohwphs8l0d955x1atGhBjRo1iI6OZvny5UaHVH1ERoL5gj+ZQiYsCqsdRtfGXQFYuFsfANXFsTPHSDzgOHg7235I1RIeEk67Bu3ItefqxF3ERxXZF93NgXKpPn7Y6hhoGdJmiKOqTbyaqy/6hQNkfyluwEREfIO/xZ+bO9wMqO1DVWW1WomLiys+iX7BOduM9pDhB+1rRTjyMEWc0zU5c6bkBH0p6LhSvNIMMuTbtzcUvm9r0MI7+FQS/csvv+Shhx7iySefZO3atVx55ZUMHjyYvXv3Gh1a9RAeDlOmuDVhkVq6VD+Ldi/Cjp2OYR2xBuuysKpqQEtHpZv2bRHfdG3ktZhNZjYc3sCek3vOP+HmQLn4PpvNRlJSkusG5Htss9mw2+3qh+5jhrQZggkTSbYkUtJ0BYlIVeWcNHLmlpmkZ6YbHI0Y4oJztk87O+7HtL/J0VK1iHO6+pdeWnKCXjymtIMMznZNMzcXvm9r0MI7+FQS/dVXX2XcuHHcfffdtG/fntdee41mzZrx7rvvGh1a9TFunGOiohImLMo7uajdbq+8+MQwauVSPThbuiiJLuKb6teqz+XNLgcuqFgtxUC5+Lb4+Hiio6OJjo4mJiYGgJiYGNey+Ph4thzdws4TOwmwBLjahIh3C6sdxqXhlwKOyYPBvQETEfEtvcJ70aJOC05nni6yfZNUcXnO2fYHw6IWjsWjL7+3wPOAR8/pdFypOD3De9KybkvSs9K1b3sxn0miZ2ZmkpiYyIAB+U/kBwwYwIoVKwyKqpoKDy9xwqIrLrqCQEsg+0/tZ8vRLZUXmxjCbrczf6djskkl0au2PhF98DP7sevELnad2GV0OCJSBsPbDgcKaeni5kC5+LbY2FgSExNJTEwkISEBgISEBNey2NhY1wBLv+b9CAoIMjJcKYXhbRz7tvP/z50BExHxLSaTidGdRgPw6YZPDY5GDPPXOdsXb9+L3QSXN7ucFnVbFHje0+d0Oq4Ur6hBhnnz5hEbG8u6deuKfK3JZGJ0x/z7tgYtvI+f0QG46+jRo+Tk5NCoUaN8yxs1asTBgwcLfU1GRgYZGRmux2lpaRUao5xX078mV0Zcyc+7fmbBrgW0b9je6JCkAu04voM9qXsIsATQO6K30eFIBQoODKZXeC+W713Ogp0LiO0ea3RIIlJKw9oM49EFj7IkeQlpGWmEBIacfzI8XNXnVZzVai1wKXdUVBRRUVGuxz/MdSRhnQMu4huGtR3Gvxb9i4W7FpKemU5sbCzDhzv+D5OSkoiJiSEhIcH1f61L+kV805hOY3hu+XPM2zmPI+lHaFi7odEhiRHCw/n0zErgfCuQC5/39DmdjivFi4+PZ9KkSfmWOQcb8q5TlDGdx/Ds8meZt3MeR88cLXF7EydOJC4urvyBi9t8phLdyWQy5Xtst9sLLHN64YUXCA0Ndd2aNWtWGSHKX9QXvfpw/h9f1uwyagfUNjgaqWjat0V8W9sGbWlTvw1ZuVnM2zHP6HDEyxw9c5QV+xxXeQ5tM9TgaKQ0OjTsQPM6zcnIyeDnXT9jtVpdAyTOBEfex9U92SHiTUozaWD7hu2JskaRnZvNVxu/qoToxFvk/TvZfGQzaw+uxc/sx40dbqyU99dxpXhFXe03fbpjstCRI0cW+/p2Ddrl27fduXpQKpfPJNEbNGiAxWIpUHV++PDhAtXpTk888QSpqamu2759+yojVPnL1S2vBmBJ8hKycrIMjkYqkvqhVy/OvugLdy8kJzfH4GhEpCyck0W6+qKnpDgu+U3RhITVidVqZeLEifm+9M7ZPodcey5dGnXhotCLDIxOSstkMrn2bfVTFfEtZZ2EUC1dqpe8fyfO//tBrQfRoFYDgyOrhgo5d847yOAs4q1ZsyZnz54FYN++fSW2Ysm7b2vQwvv4TBI9ICCA6OhoFizIX/m4YMECLrvsskJfExgYSEhISL6bVJ6ujbvSoFYDTmeeZmXKSqPDkQqSnZvNot2LACXRq4vuTboTGhjKyXMnWXNgjdHhiEgZONt0zN4+m+z3p0BEBPTv77ifOtXg6KSyWK1W4uLi8n0Jcw6sOJOx4lvy7tu59lzX8sIGTETEd93S8RbMJjO/pfymeYqqIbvd7kqiF9rKpRJU6+PK1KklnjvPmDEDgLFjx5aqf/wtHW/BhIkV+1aw+8TuivsZpEx8JokOMGHCBN5//30++OADNm/ezD//+U/27t3LPffcY3RoUgizycxVLa4C1PahKlu9fzVpGWnUrVGXKGtUyS8Qn+dn9qN/i/6A9m0RX3VZs8uoW6Mux88e57fn7oHcv5JtubkQG6uK9GoqMyfT1eJnWFsl0X1R74jehASGcCj9EKv3r3YtL2zARESMVZ5JA5sEN3Gdj3+24bNKiVeMUdjfydcrvyb5ZDK1LLXoEdoj37rutgUqr2p7XElJgfHjSzx3vvfeexk/fjxz584tVSuWovbtaj1o4UV8Kol+880389prr/Gf//yHrl27smzZMubMmUNERITRoUkR1Du56nP+317V8iosZovB0Uhl0b4t4tv8zH5cG3ktAN9H2vM/mZMDO3YYEJUYbWnyUk5lnqJxUGO6N+ludDhSBgGWAAa2GgjkadckIl4pPj7eVZVamkpVp9EdRwPw+qLXOXDgQIXHK8Yo7O/kpTkvAXAm6QyfTP3EtW5p2wJJGWzffj6B7lTIuXPXrl2Jj49n4MCBpW7Fkreli93uOE+vtoMWXsankugAf//730lOTiYjI4PExER69+5tdEhSDGfv5N/3/87JcyeNDUYqhPqhV0/Offu3fb9xOvO0wdGISFk42z780PaCJywWaN268gMSwzmTrkMih2A2+dzXBPmLc99WX3Qpj3feeYcWLVpQo0YNoqOjWb58udEhVTnlnTRwZPuRBJgDOGo6ypKtS/I9V5kVyVKxCvydmCGoZxAAb45/U5NLVrbISDBfcI7k4XPnke1HEmgJZPPRzaw7uM5j25Xy09mxVKiLQi+iTf025NpzWbx7sdHhiIedyjjl6nevJHr10qpuK5rXaU5WbhZLk5caHY6IlMHAVgPxM/uxtQFsa/jXKaHFAvHxEB5ubHBS6ex2u/v90DURrVcb3HowZpOZDYc3sOfkHqPDER/05Zdf8tBDD/Hkk0+ydu1arrzySgYPHszevXuNDq1KKe+kgaE1Qrmy0ZUA/JTyU77nVJFcdRT4O2n1/+zdd1hTZ/sH8G8SNjJUBIIgoOAEFXDbVnBbR7WtVTusrSK2tUM7fl1vgc63fbV7iJSqrV3WvTeuukGcqKAiIkHEwRBZyfn9ERNB2SQ5Gd/PdeXCnJxzcifx5Mm5z/PcD1CkKoK7oztmDFWXNm5sWSBqBG9vYP589W9moF6/nRtaisXFzkVbVm/xscVNDpl0h0l00juWfTBfOzJ2oEJVgXbN28G/ub/Y4ZABSSQSHttEJs7FzgXhfuEAgDWL3lUnRTMygKlTRY2LxHHy6klk3MyArcwWg9sOrnnFekymReJq6dAS/X36A2BJF2qcL7/8ElOnTsW0adPQqVMnfP311/Dx8cFPP/0kdmiEqjWyO5Sqh5OtzViLQ0mHmDS1BMHqPxNc+sMqO6fJZYGoEaZOVf9mrudv58aUYnk6+GkAwJ/Ji6DM5AVxY9HgJPqUKVOwa9cufcRCZkqTaNt6fqvIkZCuaZKnQ9sNFTkSEgOT6KaDbTfVRNPjeM2V3UB4OHugW7A1Z9TJ1kFtB8HRxrH6leo5mRaJT3Nss6SL6RKr7S4rK0NSUhKGDq36+37o0KHYu3dvtduUlpaioKCgyo0apiE9VSsnTX+c9SNwG7ipuolej/dCWFgYYmJi2CPZTLm4ucCui7oH9JMfrgB8ffGak1OTygJRI3l76/W384g9OWh+G1CUXcOOgf7stGAkGpxELywsxNChQxEYGIhPP/0Uly9f1kdcZEbC/cIhk8iQdj2NQ0rNDOuhW7ZBbQdBAglOXT2FywVsC4wZ226qiSbRtidzD67fvi5yNCSmepVyqedkWiQ+TV30HRk7UFDKhKYpEqvtzsvLg1KphIeHR5XlHh4eyMnJqXabzz77DC4uLtqbj4+PIUI1Kw3pqVqlRva8eOCUenmH8epe6fPnz290j2TWUjduBy9sQIlMibbXgd5ZAFQquP7f/yHU3b3RZYHICGVlwSbqRYw/qb77e5DATgtGosFJ9GXLluHy5cuYOXMm/vnnH/j5+WHEiBFYunQpysvL9REjmTgXOxf09u4NgD1Wzcml/Es4nXcaUokUEf4RYodDImhh3wI9vHoA4EgTY8e2m2ri39wfQe5BUApKbEjbUPcGZJZyb+Vq5zgZ1X5UzSsaYDIt0o0Obh0Q2CIQ5apybD63WexwqBHEbrslEkmV+4Ig3LdM45133kF+fr72dunSJb3HZ8nuq5F9XL1c0VyBvQf3NqlHMmupG7ffj/0OAHjyOKA9GpVKLHz/fX5m5uROp4Wn7hzbyzoBJRJ2WjAGjaqJ3rJlS7z66qs4cuQIDh48iICAADzzzDPw8vLCrFmzkJaWpus4ycSx7IP50XyWvVv3hqudq7jBkGh4bJsOtt1UkzHt1T1WV59l2QdLtT5tPQQICPEMgbdzLcOSGzGZFolHW66JddFNlhhtt5ubG2Qy2X29znNzc+/rna5ha2sLZ2fnKjcyoIuAu507CsoKkNMshz2SzVRecR423TgMQJ1E1xCkUry/aBEUCkWDJ7AkI3Wn08IDmYBPPlBgB6ztKGWnBSPQpIlFFQoFNm/ejM2bN0Mmk+Hhhx/GyZMn0blzZ3z11Ve6ipHMgCbRtu38NqgEVR1rkylgKRcCgCHt7ibReWybBrbddK/RHdSJto3pG1GmLBM5GhJDvUq5aDRwMi0Sj+bYXnd2HZQqpcjRUFMYsu22sbFBWFgYtmyp2kFiy5Yt6Nevn06fi5pOLpcj+oNoPNr+UQDA78d/b/A+Kk9Uylrqxuufk/+gQqhAiHUbdLpx92J25nvvQVPsqTETWJIRutNpQSqVaS+Y/P50N3ZaMAINTqKXl5dj2bJlGDVqFHx9ffHPP/9g1qxZUCgUWLRoETZv3ozffvsNH374oT7iJRPVq3UvONk44drtaziiOCJ2ONREKkGlLd+hSaKSZerr3RcO1g7IvZWL41eO170BiYJtN9WmV+tecHd0R0FpAXZd5AS0lqa0olRb7kOTdK2TnifTIt3o79Mfze2a49rta9iXtU/scKiBxGy7Z8+ejZ9//hm//PILUlNTMWvWLGRmZmLGjBk6fy5qGk3SNKqvulTL2rNrkV+S3+iJShtbS530748TfwAAngp/BVcOHMDZuDgcX7MGW9q0AcALH2bnTqeFp15VTyi6vvwkbty+IXJQZNXQDeRyOVQqFSZNmoSDBw+ie/fu960zbNgwuLq66iA8MhfWMmtE+Edg9ZnV2HJ+C8K8wsQOiZogJScFecV5cLJxQu/WvcUOh0Rka2WLAb4DsCF9A7ac34Junt3EDomqwbabaiOVSDEycCQWpCzAmjNrMLjt4IbtICtLXbsxMJBJVRO0I2MHisqKIG8mR6g8VOxwSIesZdYYETgCfxz/A2vOrMEDbR4QOyRqADHb7gkTJuDatWv48MMPoVAoEBQUhPXr18PX11fnz0W60c2jGzq5dUJqXiqWpS7D8yHPIyYmpl7bRkVFYcwYdWm35ORkREZGIj4+XlsShr2axXfx5kXsydwDCSSYGDQRP30Zj9jY2CrraC6AAEB0dHS9P38yYt7eCPZ+HsGXvsbx3ONYemopIsMi696O9KbBPdG/+uorZGdn44cffqi2IQeA5s2b48KFC02NjcwMayebjy3n1J9hhH8ErGXWIkdDYuOxbfzYdlNdKtdOFgSh/hsmJAC+vsDAgeq/CQl6ipD0RVPKZVT7UZBKmlTpkYyQ5tjmnAemR+y2+8UXX0RGRgZKS0uRlJSEhx56SC/PQ7ohkUjwVPBTAIA/jv/RoG3vm6gUrKVubP488ScAINwvHK2dWyMqKko7YWxjJ5El06E5thtTrol0q8G/lJ955hnY2dnpIxYyc5pE257MPSguLxY5GmqKzefVw75ZD52AuyV9dl3chZKKEpGjoeqI3Xb/+OOP8Pf3h52dHcLCwrB7927RYqHqDWk3BDYyG1y4eQGnrp6q30ZZWcD06YDqznwIKhUQFaVeTiZBEISG1UMnkzM8YDispFY4nXca6dfTxQ6HGkDstptMz5PBTwIAtl/YjuzCbJGjIV3SXBjRfMa88GFZJgVPAgDsvLgTl/IviRyNZWN3EzKY9i3bw8fZB2XKMuy+yASKqSouL8aezD0AgKHthoocDRmDLq26QN5MjpKKEvyb+a/Y4ZCR+fvvv/Haa6/hvffew5EjR/Dggw9ixIgRyMzMFDs0qqSZTTMM9B8I4G7P5Dqlpd1NoGsolUA6E3Wm4njucWTmZ8Leyh6D2g4SOxzSA1c7VzzY5kEAwJoz9Ty2icgk+Tf3Rz+ffhAg4K8TfzVqHw2ppU6GcfzKcRzPPQ4bmQ0e6/SY2OGQCNq4tMFDvurRQJpRCSQOJtHJYCQSCcs+mIHdF3ejTFmGNi5tENgiUOxwyAhIJBJtDWUe23SvL7/8ElOnTsW0adPQqVMnfP311/Dx8cFPP/0kdmh0j8olXeolMBCQ3vNTUiYDAgJ0HBnpiyapOrjtYDhYO4gcDenLmA7qWsf1PraJyGQ9GaTuqdzQki4amolKmUQ3HprP8uHAh9Hcvvl9j/PCh2XQlHRZfGyxyJFYNibRyaA0ZR+YaDNdm8/dLeUikUhEjoaMBS+QUXXKysqQlJSEoUOrjloZOnQo9u7dK1JUVJNR7UcBAPZd2oe84ry6N/D2BubPVyfOAfXfuDhOLmpCWMrFMmg+392Zu3Gz5Ka4wRCRXj3R5QnIJDIkKZJwJu+M2OFQE6kEFf44oU6ia5Ko9+KFD8vweOfHYS21xvHc4zh+5bjY4VgsJtHJoAb5q4cKH7tyDFeKrogcDTWGJknKeuhUmaYn+hHFkfol38gi5OXlQalUwsPDo8pyDw8P5OTkVLtNaWkpCgoKqtzIMNq4tEE3j24QIGB92vr6bTR1KpCRASQmqv9OnarPEEmHrhRdwcHLBwHcvYBC5qldi3bo5NYJFaoKbEzfKHY4RKRHrRxbYVjAMACchNAc7L20F5n5mXCyccLIwJFih0MiamHfAiPbq/8P8NgWD5PoZFCtHFshxDMEALD1/FaRo6GGUhQqcDz3OCSQsHYqVSF3kiPYPRgCBGw7v03scMjI3DtqRRCEGkeyfPbZZ3BxcdHefHx8DBEi3dHgki6Auud5eDh7oJuYdWnrIEBAD68ekDux95q5a9SxTUQmqXJJF0EQRI6GmuL3Y+pk6WOdH4O9tb3I0ZDYNKMR/jj+B1SCqo61SR+YRCeDY9kH06W58BEqD4Wbg5vI0ZCx0RzbmpI/RG5ubpDJZPf1Os/Nzb2vd7rGO++8g/z8fO3t0iXOQG9IozuoE22b0jehTFkmcjSkTyzlYlk0x/aGtA2oUFWIHA0R6dMjHR+Bg7UDzt04px1xRKanTFmGJaeWALh7YYQs26j2o+Bs64xLBZewJ3OP2OFYJCbRyeAq10XnlXHTwlIuVBse23QvGxsbhIWFYcuWqhdNt2zZgn79+lW7ja2tLZydnavcyHB6ePWAZzNPFJYVYmfGTrHDIT0pqSjRXvBkEt0y9PXui5b2LXGj5Ab+zfxX7HCISI+a2TTD2I5jAbDsgynbfG4zrt++Dg9HDwz0Hyh2OGQE7Kzs8FinxwDcHaVAhsUkOjVOVpa6/mlWVoM37e/TH7YyW2QXZiM1L1UPwZE+CIKgTaIPbTe0jrXJEj3k+xBsZDa4VHAJZ6+dFTscMhKzZ8/Gzz//jF9++QWpqamYNWsWMjMzMWPGDLFDo2pIJVJtzU2WfTBfiRcSUVxeDG9nb3T37C52OGQAMqkMDwc+DIDHNpEl0JR9+Pvk3xx9YqL+OK6eUHRi0ETIpDKRoyFjoTm2/zn1D0eNioBJdGq4hATA1xcYOFD9NyGhQZvbW9vjQd8HAQBbzrGki6k4kXsCOUU5cLB2QD+f6nuQkmVzsHZAf5/+AFiuie6aMGECvv76a3z44Yfo3r07du3ahfXr18PX11fs0KgGlWsnc1SJedIkUUcFjqpxfgIyP6yLTmQ5hrQdAjcHN+TeyuV8RSaoqKwIq86sAnA3aUoEAOF+4ZA3k+NGyQ1sSNsgdjgWh0l0apisLGD6dEB1ZxIDlQqIimpwj3TWRTc9ms/qId+HYGtlK3I0ZKx4bFN1XnzxRWRkZKC0tBRJSUl46KGHxA6JajG47WDYymyRcTMDJ6+eFDsc0jFBELD27FoAd+tkk2UYFjAM1lJrnL12FmfyzogdDhHpkbXMGk90fgIAS7qYolWnV6G4vBgBLQLQw6uH2OGQEZFJZZgUNAkAj20xMIlODZOWdjeBrqFUAunpDdqNJtG2I2MHh6CYCE3t1KFtWcqFaqapi554IRHlynKRoyGixnC0ccSgtoMAAGvOsMequTl65SguFVyCg7UDa6xaGGdbZ4T7hQNgb3QiS/BUV3UP5hWnV6C4vFjkaKghNMnRp4Kf4ogxuo/m2F5zdg0KSgtEjsayMIlODRMYCEjv+W8jkwEBAQ3aTTfPbmjl0Aq3ym9hf9Z+HQZI+lBSUYJdF3cBuJskJapOiGcIWti3QGFZIQ5ePih2OETUSCz7YL5Wn1kNQN2hwc7KTuRoyNB4bBNZjr7efeHn6oeisiJeFDchV29d1XZgezL4SZGjIWMU4hmCjm4dUVJRguWpy8UOx6IwiU4N4+0NzJ+vTpwD6r9xcerlDSCVSLW93Lae36rrKEnH9l7ai9sVtyFvJkeXVl3EDoeMmEwqwyB/9bHNki5EpmtU+1EAgP1Z+5F7K1fkaEiXNMnTMR3GiBwJiUFTwuffzH9x/fZ1kaMhIn2SSCR4MkidhGXZB9Ox5OQSKAUlenj1QPuW7cUOh4yQRCLR1spffGyxyNFYFibRqeGmTgUyMoDERPXfqVMbtRvWTjYdmivhQ9oN4XAyqhOPbSITl5UF76Q0hLQMggAB69PWix0R6Uh2YTYOZx+GBBKMDBwpdjgkAj9XPwS5B0EpKDkhGZEF0JR92JC+AdeKr4kcDdXHHyf+AADtBRCi6mhGKWy/sB3ZhdkiR2M5mESnxvH2BsLDG9wDvTJNou3g5YO4WXJTN3GRXmiSoZrPjKg2mpI/B7IOIL8kX+RoiKhBEhIAX19g4ECMXn4CAMs+mBPNhKK9vXvDo5mHyNGQWFjShchydG7VGd09u6NCVYGlp5aKHQ7V4fyN89h7aS8kkGBC0ASxwyEj1rZ5W/T17gsBAv468ZfY4VgMJtFJND4uPujQsgNUggqJFxLFDodqcPXWVRxRHAEADG47WORoyBT4ufohoEUAlIISiRk8tolMRlYWMH26dgLx0WfUizenb0JpRamIgZGuaJKmmiQqWSbN578xfSMnASeyACzpYjp+O/obAPV5t5eTl8jRkLHTlHThsW04TKKTqLRlH3YvVJ+8k9HZdmEbBAjo6tEVns08xQ6HTIT22D7Hki5EJiMtTZtAB4BQBSAvBIrKb2FHxg7x4iKdKC4v1s5DwyS6ZevVuhdaObRCfmk+dmfuFjscItKzScGTIIEEuzN34+LNi2KHQzUQBAG/HVMn0Sd3myxyNGQKnujyBKykVkhWJON03mmxw7EITKKTqIacV//dfHK1evh4QoK4AdF9NElQlnKhhhjabigA1kUnMimBgYD07k9DqQCMSlPPg8GyD6Zv6/mtKKko0dbEJsslk8owsr26Jv6aMzy2icydt7M3BvgNAAD8uepjdl4zUvuy9uHcjXNwtHbEuI7jxA6HTEArx1YY1m4YAOD3Y+yNbghMopN4srIQ8eYPsFIC51oA6a4qICqKjboREQSB9dCpUSL8IiCTyJB2PY09XohMhbc3MH8+IJOp78tkGD3kJQDqJLogCCIGR02lSZaObj+ak4QTxrQfA4DHNpGlePJmGwDA7wd+huDbhp3XjNCvR38FADzW+TE42jiKHA2ZCk1Jlz9O/MH23ACYRCfxpKXBqUTAA5nqu5vaAVAqgfR0UcOiu07nncalgkuwldniQd8HxQ6HTIiLnQt6te4FgL3RiUzK1KlARgaQmAhkZGBQ1Oews7JDZn4mjuceFzs6aiSVoGI9dKpiSLshsJHZ4NyNc0jNSxU7HCLSp6wsPP7ub7CtAE54ACnuAjuvGZnSilL8ffJvAMDkrizlQvU3psMYOFo74vyN89iftV/scMwek+gknjvDxoffyZlvDIC691tAgKhh0V0b0jcAAAb4DYCDtYPI0ZCp0Yxe2HRuk8iREFGDeHsD4eGAtzccrB20k0qz7IPpOpx9GFduXYGTjZN2SD9ZtmY2zTDQfyAAHttEZi8tDc2LBYy5M2H4ou5g5zUjs/bsWtwsuYnWTq0R7hcudjhkQhxtHDGuk7r8DycY1T8m0Uk8d4aND7+g/m+43R8onfe9ejkZhY3pGwEAIwJGiBwJmaLhAcMBqOvqV6gqRI6GiBpL03OZddFNlyZJOjxgOGxkNiJHQ8aCxzaRhbjTeW3yUfXdP4KBcmtpvTuvKRQKxMTEQKFQ6DFIy6aZUPTprk9DJpWJHA2ZGk1Jl79P/o1yZbnI0Zg3JtFJXFOnouv+DHjatECxDbBnYKDYEdEdt8puYefFnQDuJkOJGqJX615obtcc+aX5OJB1QOxwiKiRRrUfBQA4ePkgrhRdETkaaozVZ1cDUA/5JdLQHNv7svYhrzhP5GiISG/udF4bdkEK9yLgqiOw8csX6915TaFQIDY2lkl0PckrzsO6tHUAgGe6PiNyNGSKBrcdDHdHd+QV57GUqp4xiU6ik/j4YHhn9UmdpucziW/nxZ0oU5bB18UXHVp2EDscMkEyqQxD2w0FcLc0EBGZHi8nL4TJwyBA0J7kkem4ePMijl05BqlEypFlVEUblzbo5tENKkGF9WnrxQ6HiPRp6lRYn7+Ipzo8DgBY5M6EuLH468RfqFBVIFQeii7uXcQOh0yQldQKE7pMAMCSLvrGJDoZheHt1D2dN55jEt1YbEhTJz2HBwyHRCIRORoyVZqEDS+QEZk2ln0wXWvPrgUA9Pfpj5YOLUWOhowNj20iC+LtjWdHvQ9Afcxfv329xlUVCgWSk5O1NwBV7rNXuu5oSrlwQlFqCk1Jl5WnV6KorEjkaMwXk+hkFAa3HQypRIoTuSeQVcBZwo2B5oIGe61RUwwLGAYASFIksQwEkQkb3UGdaNt8bjNKKkpEjoYagqVcqDaaY3tT+iaUKctEjoaI9K2bZzd08+iGMmUZ/jrxV43rxcXFISwsDGFhYYiMjAQAREZGapfFxcUZKmSzdjrvNA5ePgiZRIZJwZPEDodMWK/WvdCueTsUlxdj5emVYodjtphEJ6PQ0qElerXuBUD9I57ElX49HenX02EltcJA/4Fih0MmzLOZJ0I8QwCok29EZJpCPEPQ2qk1isuLkXghUexwqJ4KSwuxI2MHgLs9jokq6+HVA57NPFFYVoidGTvFDoeIDODZbs8CAH49+muN60RFRSEpKQlJSUmIj48HAMTHx2uXRUVFGSRWc/fbUXUv9OEBw+Hu6C5yNGTKJBIJnu76NABg0dFFIkdjvphEJ6PBki7GQ3Mh44E2D8DJ1knkaMjUaSamZV10ItMlkUi0kxCy7IPp2HxuM8qUZQhsEYgObpzfhO4nlUgxKpDHNpEleTL4ScgkMhy4fABn8s5Uu45cLkdoaKj2BqDKfblcbsiQzZJKUGHx8cUAgMndWMqFmk5zgWzb+W3IzM8UORrzxCQ6GQ1Nom3LuS2oUFWIHI1l0yQ7NRc2iJpCUxJo87nNUKqUIkdDRI2lSaKvPbsWgiCIHA3VB0u5UH1oSrqsObuGxzaRBfBo5qE992aPVfHsurgLmfmZcLZ15mgx0gn/5v6I8IuAAAGLUnhs6wOT6GQ0enj1QAv7Fsgvzcf+rP1ih2OxSipKkJihHqo/IpD10Knp+nj3gbOtM67dvoYkRZLY4RBRIw3yHwR7K3tcKriEo1eOih0O1UGpUmLd2XUAWMqFaje47WDYWdkh42YGTuSeEDscIjIATY/V3479VmcnF7lcjujoaPY+1zFNOZ0nOj8Be2t7kaMhc/Fc9+cAAAuPLoRKUIkcjflhEp2Mhkwqw9B2QwEAG9NZ0kUsezL3oLi8GPJmcgS7B4sdDpkBa5k1hrQdAgDYkMaSLkSmyt7aHoPbDgYArDnDsg/Gbl/WPly7fQ3N7Zqjf5v+YodDRszB2gGD/AcBYEkXIksxusNouNq5IqsgS9uBqiZyuRwxMTFMouvQrbJbWHpqKQDgmW7PiBwNmZPHOj8GJxsnnL9xHrsv7hY7HLPDJDoZFW1ddCbRRaN574cHDIdEIhE5GjIXmiGjnPOAyLRpejQz0Wb8NBc6Hg58GFZSK5GjIWPHY5vIsthZ2WFil4kAap9glPRjWeoyFJYVol3zdniwzYNih0NmxMHaARO6TAAA/JLyi8jRmB8m0cmoaHqiJymSkHsrV+RoLJO2HnoA66GT7mj+Px3IOoBrxddEjoaIGktTF/1Q9iEoNi4FsrJEjohqokmGspQL1Yfm2D6QdYC/wYkshGYyy2Wpy1BYWihyNJbllyPq5OaU7lPYcY107rkQdUmXpaeW8tjWMSbRyajIneTo7tkdgHoSQtINhUKBmJgYKBSKWtfLzM/EqaunIJVIteU3iHTB29kbQe5BECBgy/ktYodDRI0kd5Kjh7UfAGDde+MBX18gIUHcoOg+6dfTkZqXCiupFS+KU720dm6NUHkoBAjaWvpEZN76ePdBYItAFJcXY1nqMrHDabysLCAx0bgv7FeK8dz1c9h5cSckkGhr0xPpUl/vvujQsgOKy4ux5OQSscMxK0yik9FhSRfdUygUiI2NrTOJvil9EwD1D6rm9s0NERpZkBEB6olqNaMdiMgEZWVh9JaLAIC17QGoVEBUVNUTV1M4mTVzmlIuA3wHwMXOReRoyFSwpAuRZZFI7iZxF6YsFDeYxkpIUF/QHzjQeC/s3xPjwoWvAVCPwvdx8RE3NjJLEolEO8HogpQFIkdjXphEJ6Oj6TG16dwmziZsYJp61ZoLGUS6pD2203lsE5mstDSMOS0AADa3A4qtASiVQHq6+nFTOJm1ACzlQo0xpsMYAOrRoCUVJSJHQ0SGMLnbZEggwc6LO5F+PV3scBomKwuYPl19QR+o/sK+2O6JUSmosDBrLQDg+ZDnxYyMzNwz3Z6BVCLFv5f+xdlrZ8UOx2wwiU5Gp59PPzjZOCGvOA/JimSxwzFZCoUCycnJ2huAKvfv7ZVerizH1vNbAbAeOunHA20egKO1I67cuoKUnBSxwyGixggMRLdcCXxvAretgS1tAchkQECAaZzMWoDrt69j18VdAIDRHZhEp/oL8QxBa6fWuFV+CzsydogdDhEZgI+LD4YFDANwt063yUhLu/ubQ6PyhX1jcE+MW9sCWS5ACytnPNLhEREDI3Pn5eSlzeuY7EgTI8QkOhkda5k1BrcdDIAlXZoiLi4OYWFhCAsLQ2RkJAAgMjJSuywuLq7K+vuy9qGgtABuDm4I8woTI2QyczYyGwxqOwgAj20ik+XtDcn8eIw9o54Ea2UnCRAXB3h7m8bJrAVYd3YdlIISwe7BaNu8rdjhkAmRSCTaCUZXnV4lcjREZChTQ6YCUCfaKlQVIkfTAIGBgPSelJbmwr6xuCfGBSHqv0+2fxS2VrYiBUWWQlPS5dejv0KpUoocjXlgEp2MkuaKGWsnN15UVBSSkpKQlJSE+Ph4AEB8fLx2WVRUVJX1NUnNYe2GQSrhVwPph6YuOpPoRCZs6lSMjf0bALCmtysqnlPXU73i7AyVRFJ1XWM7mbUAK06vAACM6zhO5EjIFGl6Rq46s4ql14gsxJgOY+Dm4AZFkQIb0kzo/NvbG5g/X/1bA1D/1VzYNxaVYrxuD6zoqF78/AOviBsXWYTR7UejpX1LXC68jC3nt4gdjllgpoyMkiaJvj9rP/KK80SOxjTJ5XKEhoZqbwCq3JfL5VXW1yQ1WcqF9Enz/2vvpb24WXJT3GCIqNEeCBuHlvYtca30BvZk7gEAXJZIECkIEDQ9rozxZNbMFZcXa9vzcZ2YRKeGG+g/EE42TlAUKXDw8kGxwyEiA7CR2WgnGE040vS5TBQKBWJiYu4rH6oXU6cCGRnqCc0zMtT3ayLWxOd3Yvwj/hWUWQHdPbsjRB5i2BjIItla2eKp4KcAcIJRXWESnYxSG5c26OrRFSpBxR6rBnC54DKO5ByBBBIMbTdU7HDIjPm5+qGjW0coBaW2Bj8RmR4rqZW23vaK1BXa5b8AOLF2bf1OZknnNp/bjNsVt+Hr4otuHt3EDodMkK2VLUa2Hwmg6rFNROZNU9Jl7dm1UBQ2LfmtUCgQGxtrmCQ6oL5YHx5e+0V7kSc+F1q3xi9FuwEAz3fnhKJkOM+FqEu6rDy9EtdvXxc5GtPHJDoZrVGB6pqM69LWiRyJ6ZPL5YiOjr6v97nG+rT1AIDe3r3h7uhuyNDIAmlKumj+3xGRadKUC1lyfAmSkpK0k1gfuHwZyc7OSM7NNdwJNAFQnyAB6s9Gcm9pHaJ60hzbK06vgCAIIkdDRPXR1N7fnVp1Qj+fflAKSvx69Ffxem3rg5gTn995H5NS1uNIzhHYymzxZPCT+n9eoju6e3ZHd8/uKFOW4fdjv4sdjsljEp2MlqYXzMb0jShXloscjWmTy+WIiYmpMYm+Nm0tgLsXLoj0STNp2bq0dUZfb9Wgw1GJTMyQtkNgLVgj53YOeozqUa9JrEl/KlQVWHN2DQBgbMex4gZDJm1EwAjYymyRdj0Np66eEjscIqoHXfT+1vRGT9j5FQTfNlV7bd+TVL/3N7JCoUBycrL2BqDKfVF/S4s18Xml3u9xMerzn8c7P46WDi31+7xE95gWMg0AEJcUx4vjTcQkOomrlivcvVv3Rkv7lrhZchN7L+0VITjLcLv8trashia5SaRPD7Z5EM62zsi9lYtDlw+JHU6tDD4clciE2FvbY7D/YADAtLnT6jWJNenProu7cP32dbg5uOGBNg+IHQ6ZMCdbJwxuqz62NRPVEpH5e6LLE2hm7Yi0iivY7XMn0aZSAZGR95VCufc3clxcnPYCutFdVA8MBKT3pL70PfF5pd7vBbbAn0HqxVFtOF8JGd7TXZ+Gg7UDTl49ydxaEzGJTuKpoy6ZTCrDw4EPA6impIs5DS8T2Y6MHSguL4a3sze6enQVOxyyANYya+0Eo2vPrhU5GiJqikndJwEADuQfqNck1qQ/mlIuY9qPgUwqEzcYMnmVS7qQZfnkk0/Qr18/ODg4wNXVVexwqBa66v2t6VVeeK0Qk1qGAwDiQyutIAj3lUKxvnKlyj6ioqK0F9CN7qK6tzcwf746cQ7oZeLz+0avVur9/kcwcMsG6HQVeKCwhc6ek6i+XOxcMLHLRADq3ujUeEyikzjqWZdM0zO6SqJN5ElBzI3mvR0VOIr1U8lgNKWDNKUHjIlRD0clMjIj24+ETCLD8dzjuHTrktjhWCxBELRJdJZyIV0Y3WE0pBIpkhXJuHjzotjhkAGVlZVh/PjxeOGFF8QOheqgq97flXuVT+ulTnb/0wW4Zl/DBkolMrdvB4Aqv4/lcrn2IjpgZBfVp05VT3iup4nP7xu9eqf3uwAgLky9aHqyBJLAQJ0+L1F9RfVQH9tLTi7hBKNNwCQ6iaOedcmGthsKmUSG1LxUnLt+TtxJQcyQIAh366GzlAsZ0IjAEZBKpDh65Sgu5RtX4s2oh6MSGZkW9i0Q7hcOAEguTq51EmvSnyRFEi4VXIKjtSOGtBsidjhkBtwd3dHfpz+Au6McyDLExsZi1qxZCA4OFjsUqoM+en/37D4KodZtUGoFLAiBugzKPR2tKgBEzZkDwMR+I3t7A+HhOu2BXutzzZ+PQz5SpMgB2wpg8nNfGea5iarR06snunt2R6myVD15MDUKk+gkjnrWJXO1c8WDvg8CuFPSRaxJQczUidwTyMzPhL2VPQb6DxQ7HLIgbg5u6OvdF0A15ZpEZtTDUYmMkKbn8/bs7bVOYk36o0lyjggcATsrO3GDIdNTQ5nEQV6DAABLji0RIyoyIaWlpSgoKKhyI/2r3PO7ob2/axp5eeTIETzcaTIAYN4YL6gyLgDx8dpSKIJUisv/+Q9iavmNLJfLLeKiep2jVx9+GPM/fwIAML7Do2gR+aqY4ZKFk0gkiApTH6PzDs/jBKONxCQ6iaMBdck0ZR/Wpa0TZ1IQM6Yp5TKo7SDYW9c0Xo9IPzSjH4ytpEtTTkiILNEjHR4BAPyb+S+uFF2pY23SB03d6rEdxoobCJmcm3PnQtWmTbVlEsMc1TUI9iv2I684T6wQyQR89tlncHFx0d58fHzEDonqUNvIy48nfAxbwRbnSrKxtex0lVIokosX4fvhh7X+RpbL5RZxUb2u0avfxH2DPy+sBgBEPTRLzFCJAABPBj8JR2tHnLl2Brsu7hI7HJPEJDqJp551yTSJth0ZO1DYykXvk4JYEm0pl0CWciHD0xzb285vw62yWyJHQ0SN5ePigx5ePSBAMLqLYpbg7LWzOHX1FKykVhjZfqTY4ZApycqCy1tvQarpjXZPmUQvBy9AAaigwpozPLZNWUxMDCQSSa23w4cPN3r/77zzDvLz87W3S5eMq1SfJWho7+9aR17uT8JTQU8BAH46/JN6A0OWQjERdY1edX3QFcXlxejk1klbHotILAqFAl9+9iXGthsLgBOMNpaV2AGQhfP2rrMhbt+yPdo1b4dzN85h6/mtGDd1KjBsmLqES0AAG/JGunrrKvZd2gcAPOkmUXRp1QV+rn7IuJmB7Re2Y3SH0WKHdB9LGY5K1FTjOo7D4ezDWHF6BaaFTtPrcykUCsTFxSEqKorHJoAVqepe6BF+EXC1cxU3GDItaWmQVFMm8ez69Sjq0UNdnuA0ADmw8MBCdBO6QS6X87gzQTNnzsTEiRNrXcfPz6/R+7e1tYWtrW2jt6em0/T+bsj69x7LlUdhvu7zOn45+QtWn1mNrIIseDt737e9pf9Gru09FAQBU+ZNAQBEhUVBck9deSJD00x+u3jbYvx++ncsS12GvOI8uDm4iR2aSWFPdDJ6EolE22NVU36EV8KbbkP6BggQ0N2z+30/iogMQSKRaEdBrDm7BgqFAjExMXdntTcCljIclaipNHXRt57fisLSQr0+l+YkwJi+K8S08sxKAOoLGUT1oanje7ykBKp7EjtKiQQDo6LulidIVS/fdXkXwvqawMSBVC03Nzd07Nix1pudHedToLs6t+qMAb4DoBJUmJ80/77H+Ru5drsu7sLx3ONwsHbA5G6TqzxmjOc8ZDk6uXZCmDwMZcoy/Jz8s9jhmByTSaJ/8skn6NevHxwcHODq6ip2OGRg2iR62looVUqRozEPmgsSLOVCYqp8gSw7O5uJMSIT1cmtE9q3bI8yZRk2pm8UOxyLkV2Yjf1Z+wEAj3R8RORoyFRo6vh2ffhhRAoCKu4srwAwXRAwcvr0u+UJcoFWslaAFfD5ss85ubYFyMzMREpKCjIzM6FUKpGSkoKUlBQUFRWJHRrpSU29yl/s+SIA4Ofkn1GuLK/fzmqYqNjc3fsefnfwOwDAM12fQXP75lXWZWcAMpSaJr8d5aE+B/9u/3eoUFXUtgu6h8mUcykrK8P48ePRt29fJFSa8IYswwDfAXCxdUHurVzsz9qP/m1YU6wpSitKtUkOTRKTSAzhfuFwtHaEokiB0/mnxQ6HiBpJIpFgbIex+GLvF1hxegXGdxmv0/0rFArtyWblkwANSy0xser0KgBA79a94eXkJXI0ZCqioqIwZswYAOrjyC8yEnFvvIE2AwfiJQ+P+46nYb7DsPj8YhwtO4q35G+JFTYZyAcffIBFixZp74eEhAAAEhMTER4eLlJUpE81lYIZ23EsPBw9oChSYNWZVXi88+O17yghAZg+XT2/glSqnsushnnPzE3l9/BS/iWsPL0SADCz10zxgiKLFxcXh9jY2CrLIiMj1ZngWUA2srH6zGo82ulRcQI0QSbTEz02NhazZs1CcHCw2KGQCKxl1tpkr6ZBosbbfmE7CssKIW8mR8/WPcUOhyzY9avX0atlLwDAXyl/AUCVq+XsoUFkOsZ1UpcTWXt2LUoqSnS6b03PWW2JCahPAjTLLLXEBEu5UGPI5XJt3d7Q0FBcBiCfNAnBI0YgNDT0vgtSEfIIAMC6s+tQpiwTIWIypIULF0IQhPtuTKBbHhuZjXaek+8Pfl/7yllZdxPogPrv9OnAkiUW1yv9p8M/QSkoEeEXgSD3IAA19wjmOQ/pU42T3x5IwvPdngcAfHvgWzFDNDkmk0RvjNLSUhQUFFS5kenS1FtdeWYlBEEQNxgTp7kQMbbjWEglZv01QEYuLi4OiT8lAgDWpqtLDDExRmSaerXuBW9nbxSWFWLLuS063XeNJwF3llliiYnrt69j+4XtAO5ewCDSJU15gmGdh8HD0QP5pflIvJAodlhEZEAzesyATCLDzos7kZKTUvOKaWl3E+gaKhUwYQLg66vupW4Bbpff1taQf7nXy9rl7AxAYqh80bx369YIB9C7dWuEhoYidnSs9tg+duWY2KGaDLPOnn322WdwcXHR3nx8fMQOiZpgWLthsJXZIv16OlLzUsUOx2SpBBVWnVEP/9ZcmCASS1RUFLbP2w6ZRAZ4AGjOxBiRqZJKpHi8k3qo9z+n/tHpvu/tOQugyn1LLeVSoapAsHsw2rdsL3Y4ZKJqqoWseSwmJgatvVprfzMuS11m4AiJSEzezt7aEm1f7/+65hUDA9UlXKqjUgFRURbRI/2vE3/h2u1raOPSBqM7jNYuZ2cAElVCAoJGjUIigKBRo4CEBHg7e+Oxzo8BAL478J248ZkQUZPoMTExkEgktd4OHz7c6P2/8847yM/P194uXbqkw+jJ0JxsnTCo7SAALOnSFAeyDuDKrStwsXVBuF+42OGQhZPL5YjoE4EBfgPUCzrqPjGmUCgQExPDYZJEBqCpl7r6zGqUVpRWu44uj0lLPr41FyrGd9Zt/XmyLJpEeV3trebYXnF6BSchI7Iws/rMAgD8eeJP5BTlVL+Stzcwfz4Emaz6x5VKID1dTxEaB0EQtBOKvtjjRVhJ705ByM4AJJo7pZYkd0aKSCpd1Hql1ysAgMXHF+Na8TUxozQZoibRZ86cidTU1FpvQUFBjd6/ra0tnJ2dq9zItI3tMBYAk+hNseL0CgDAyPYjYSOzETkaIjVtPd9Out+3QqFAbGysRSbZiAytr09feDl5Ib80H1vPb612naYek5V7zlrq8X3j9g3t+6vrSVyJqhPuFw43BzfkFedhR8YOscMhIgPq1boX+nr3RZmyDD8d+qnmFadOxYk1azAegCCRVH1MJgMCAvQap9j2XtqLIzlHYGdlp60lfy+FQsHSLWRY1ZVaunNRq59PP4R4hqCkogQ/J/8sTnwmRtQkupubGzp27Fjrzc7OTswQyciM7jAaEkhwKPsQsgrMfziYrgmCoE2iay5IEBmDRzo8ov6HD2DlYlX7ykRktKQSKR7rpB4aquuSLhr17TlrzladWYVyVTmC3IPQ0a2j2OGQBbCSWmkveC85uUTkaHQoKwtITLSIMhNETfFan9cAqCfNrG3y8HIPDywFkPn+++rEOaD+Gxen7q1uKhrx3fDtQfUEjU8GPYmWDi2rXUehUGD+/PmYPn26Rf+OIQOqrtTSnYtaEokEr/RW90b/8fCP1Y80q++xYCHtqcnURM/MzERKSgoyMzOhVCqRkpKClJQUFBUViR0aGZBnM0/09ekLQD1UnBomNS8V6dfTYSuzxfCA4WKHQ6Tl4+KDHl49AAlw4OaBJu9PoVBUmfEeQJX7ltZrlciQNGUfVp1ZhTJlGQDdHpM8vlnKhcTxRJcnAJhRSZeEBPWEhwMHWtTEh0SN8WinR+Hj7IOrxVfxx/E/qjxWXbu8pU0bHF+zBmfj4nDlwAFg6lQxwm6cRnw3nL9xHktPLQUAbVKyNlFRUUyik2HcKbVU00WtiUET4ebghsz8TCxPXV512/oeCxbUnppMEv2DDz5ASEgIoqOjUVRUhJCQEISEhDSpZjqZJpZ0abwVqepe6IPbDoaTrZPI0RBVpenhphkt0RRxcXHa2e4jIyMBAJGRkdplHEZJpD/9ffrDs5knbpbcxLbz2wDo9pi09OP7ZslNbDm3BQCT6GRYZlXS5U6NWO0Qdwua+JCoMaykVni518sA1BOMCoKgfaymdrnrww+jQ1QUflqzRpSYG6WR3w1f7vsSKkGFYe2GoZtntyqP8eI/iW7qVCAjQ91TPCOjykUtOys7vNjjRQDAF/9+cffYru+xYGHtqckk0RcuXAhBEO67hYeHix0aGdjYjmMBAIkZibhZclPUWEzNyjMrAdx9D4mMiSaJvu3CNhSUFjRpX1FRUdrZ7uPj4wEA8fHx2mVRUVFNjpeIqieTyvBox0cBQNsrS5fHpKUf36tOq0u5dGnVBZ1a6WEiCaIaVC7p8s9J/ZRrMphaasQSUfWmhU6Dg7UDjuceR2JGona5WbXLjfhuyCvOwy9HfgEAvNX/rfset/SL/2QkvL2B8PBqyyq93Ptl2FvZI0mRdPfYru+x0NBjxsTLvrDwLJmcwJaB6OTWCal5qdiQtgGTgieJHZJJuJR/CYezD0MCCUa3Hy12OET36dSqEzq07IAz185gfdp6TAya2Oh9yeXy+4ZIhoaGIjQ0tKlhElE9jO8yHj8e/hErz6zEPOU8nR6Tln58L01VX5jQlM0hMqTxnccjPjkey08vxw8jf4CV1ERPJzU1Yiuf+FvAxIdETdHcvjme6/4cfjj0A/63938Y6D8QgJm1y434bvjh4A+4XXEbYfIwRPhF3Pd4VFQUxowZA0DdAz0yMhLx8fHa94dlXUhsbg5umBoyFd8f+h6f//u5+tiu77HQkGMmIeFur3WpVF1mxpRKPcGEeqITVabpSb389PLaVyStVWdWAQD6+fSDRzMPkaMhqp7m2Ga5JiLT9mCbB+Hu6I7rt69X6a1GTZNfko/N5zYDYCkXEkeEfwRa2rdEXnEedmbsFDucxqujRiwRVW9239mQSqTYmL4RyYrkGtezvnLFNHubNvC7obi8GN8d/A4A8Ga/NyGRSO5bRy6Xay8qaBLnle8ziU7GYHbf2ZBJZNh8bjNSclLqfyzUdz0zKfvCJDqZpMc6PQYAWHd2HW6V3RI5GtOgqTOtGYZLZIw0/z/Xp61HaUWpTvYpl8sRHR3NH6gi+OSTT9CvXz84ODjA1dVV7HDIgCqXdLm37IMuj0lLO75Xn1mNMmUZOrkGosvJXJM78SDTZyW1wqOd7hzbp0y8pEstNWKJqHptm7fFpCD1SPDP9nx23+NyuRwrR49G0KhRpjvJYAO+GxamLMS129fg7+qPxzo/ZrAQiXTNv7m/dgLxL/79Qr2wvsdCfdYzkzJqTKKTSQqVh8Lf1R+3K25jfdp6scMxerm3crUTQGlOfIiMUc/WPeHl5IXCskJsPb9VJ/uUy+WIiYmxmCSbMSkrK8P48ePxwgsviB0KiWB8F3VP6WWpy1CmLNMu1+UxaWnHtyZpOX5VmukmJ8jkaUZBLEtdhgpVhcjRNFEtNWKJqHpvP/A2AGDZqWU4nXe6ymNypRKPrFsHiYn3Nq3Pd0OFqgJz980FALze9/V6lbeytIv/ZFre7PcmAODvk3/jwo0L6oX1bSfrWk9T9qUyEyyjxiQ6mSSJRKK9SmbyvWAMYHnqcqgEFXp69YR/c3+xwyGqkVQi1fZeXXJqicjRUFPFxsZi1qxZCA4OFjsUEsEA3wHwbOaJGyU3tCVIqPFu3L6BjekbAQBPnLiz0FSTE2TSzKakC5Gl0PFEfkHuQXikwyMQIODzfz+v+qCZ9Datj+Wpy3H+xnm0tG+J50Keq3uDrCzIT59GzLRpTKKTUQqRh2Bou6FQCSp8ue9L3e7cTMqoMYlOJkvTC2bt2bUs6VKHJSfVyUjNhQciYzYhaAIAdV10XZV0ISLDk0llmNBFfTz/eeJPkaMxfctSl6FcVY7gK0CXq5UeMNPkBBmvyiVd/jrxl8jREFGtEhLUo5Z0PHrpnQfeAQAsPrYYF29evPuAmfQ2rYtKUOGT3Z8AAGb2mgkHa4faN9DT50Cka2/1ewsAkHAkAVdvXa1j7QaqoeyLQqFATEwMFAqFbp9PD5hEJ5MVKg9F2+ZtWdKlDjlFOdh5Ud1LiJOQkSno59MPrZ1ao6C0AJvObRI7HDKw0tJSFBQUVLmR6dLUTV11ehWKy4tFjsa0aS5EPHninknLzDA5QcbvyeAnAQBLU5fygjeRsdLjRH69vXtjkP8gVKgqMGfvnLsPmElv07qsSF2BY1eOwdnWGa/0fqX2lc1kQkWyDAP9B6KHVw/crriN/+39n+6foJqyLwqFArGxsUyiE+mTRCLRJoVZ9qFmmlIuvVv3hq+rr9jhENVJKpHePbZP8tg2NjExMZBIJLXeDh8+3Oj9f/bZZ3BxcdHefHx8dBg9GVqv1r3Qtnlb3Cq/hTVn1ogdjsnKLsxG4oVEAMDEpz4z++QEGb+HfB9Ca6fWuFlyExvSN4gdDhFVR8+lVd598F0AwM9HfsaVoit3HzDzSXtVggoxO2MAAK/2fhUt7FvUvoEFlbgh41Xf3t4SiQSx4bEAgO8Pfo+cohxDhGcymEQnk6YpT7Lu7DqWdKkBS7mQKdL8f111ZhVul98WORqqbObMmUhNTa31FhQU1Oj9v/POO8jPz9feLl26pMPoydAkEgkmdpkIAPjjxB8iR2O6/j7xNwQI6OfTD35R/2fWyQkyDVKJVDvS5I/j9Ty2dVyXmYjqoOfSKhF+EejdujdKKkqq9kYHzHfS3qwsLPsnFidyT8DF1gWz+syqexsLKXFDxq0hvb1HBIxA79a9cbviNj7f83md6zc2nuTkZO0NQJX7xtornUl0MmkhniEs6VILRaECuy7uAgA83vlxkaMhqr8+3n3QxqUNisqKtBPpkXFwc3NDx44da73Z2dk1ev+2trZwdnauciPTNilYnWjbkLYBN27fqHN9TU+ZK0lJTLjdoS3lEqQuoWG2yQkyKZqSLmvOrkFBaR2lt1gPmMjw9FFapdLFMIlEgg8GfAAA+P7Q97hccFkHQRuxhASofNsgdueHAIBZtgPQ3L553dtZSIkbMh8SiQQfRqj/n/90+CdkF2br/Dni4uIQFhaGsLAwREZGAgAiIyO1y+Li4nT+nLrAJDqZNIlEgic6q3ussqTL/ZalLoMAQZuQJDIVlcs1/X3yb5GjocbKzMxESkoKMjMzoVQqkZKSgpSUFBQVFYkdGhlQkHsQgtyDUK4qx/LU5XWur1AocCk2Fu69ejHhBiDtWhoOZR+CTCLD+C6c24SMR3fP7ujo1hElFSVYeXplzSuyHjCReHRZWqWai2EjAkagv09/lFSU4O0Nb5vM5IANdud77J9OAk66A663gdfeX1v/7zEzL3FDxqkpvb2HtB2C/j79Uaosxae7P9V5bFFRUUhKSkJSUhLi4+MBAPHx8dplUVFROn9OXWASnUye5oSSJV3upy3l0pmlXMj0TOgyAYC6hxsnJDRNH3zwAUJCQhAdHY2ioiKEhIQgJCSkSTXTyTRpyj5oelTXxvrKFcwHIGHCDQDw14m/AACD2w6Gu6O7yNEQ3SWRSLSjI2ot6cJ6wETi0sXopRouhkkuX8Zngz4DAPx55k/EfmcakwM2WFoalIIKMeHqu7P3AS7FqoZ9j3EUGRlYU3p7SyQSfBTxEQAgPjkemfmZOo1NLpcjNDRUewNQ5b5cLq99ByKViGMSnUxeiGcI2jVvh9sVt7EubZ3Y4RiNywWXsSdzDwCWciHT1MOrB/xd/VFcXox1Z3lsm6KFCxdCEIT7buHh4WKHRgamSaInZiRCUXj/yXXlnjKZ27ZBdu8KFppwEwRBW0te8x4SGRNNuaat57dWnViwMtYDJjJ9tVwMe9D3QYwIGAGloAQixAlP7wID8XewBKdbAc1vA68eAL/HyHjUkFBuam/vCP8IhPuFo0xZpu2NXt8JSvVKxBJxTKKTyatc9kHTW4vulnLp59MPPi4+YodD1GASiUQ7wSjLNRGZNv/m/ujj3QcqQaUdJVVZ5Z4yUXPnQnnP4yqJxCJPVI9eOYrTeadhK7PFuE7jxA6H6D4BLQLQq3UvKAUl/jn1T/UrsR4wkemr4WLYFScnJCcn42mvp9XLgoGV+1ca/eSADVXi6Yb3xrcEALyxF3Cu4PcYGYlaEspN7u0N4MNwdW30hCMJSL+e3qAJSutLLpcjOjq6XvGIXSKOSXQyC5qJjdaeXYvrt6+LHI1x0AyZZykXMmWaJPq6s+tQVMY62kSmTNOTevHxxfc9VrmnTEx8PKYDUN05WRekUhT8738WeaKqKZExusNoONtykl0yTk96PwwA+CNpYc0rsR4wkWmr4WLYT2vWICwsDE8NfAr2J9QPffHvR0Y/OWBDfb3/a2Qo8+DtKMdr0Rv4PUbGQVcJ5VpKozzo+yCGBwxHhaoCb2x+QwdB308ulyMmJqZ+SXSRS8QxiU5mIdgjGN08uqFcVV5tDzdLc/baWezP2g+ZRIYJQeq60mLVjCJqihDPEAS0CMDtittYkbpC7HCIqAkmBk2EldQKh7MP49TVU1Ueu7enzC8ATq5dCyQmQnLxIlxff12coA2kuqGxSpUSvx//HQBLuZARS0jAExNiIVUB+3KTcD7uvzWvy3rARKatmothmovgGf/5D44kAjIVUNoeWPKfZ+8vF2Gi56NXiq5oS1l8NvQLOAwazu8xMg4NSCjX2Nu7HqVR3g55GzKJDKvOrMLve9W/Tes7QanOiVwijkl0MhvPdH0GAPDbsd9EjkR8i4+pe/kNbTcUns08Ra0ZRZZHl3XSJBIJng5WDw/lsU1k2twd3fFwoLrH6qKURXWuX+7hYTEJt+qGxm49vxXZhdloYd8CIwNHihgdUQ3u9ICTFwgYeEG96Le/3zW5BBkRNcA9F8PkcjlC3d3h+8kn6HANmJqsXu2LK4vQvZXb3YSdCZ+P/ifxPygsK0QPrx7aEfBERqEBCeVqe3vXsyd74pJEKPeriy1+eepLQFL/CUp1TuQScUyik9mYFDwJUokUey/txfkb58UORzQqQaVNNk7uNln0mlFkeXRdJ+2ZbuoLZFvPb0VWAf/fEpmyKd2mAFBfFKtQVVS7ToPqIpqrrCws3Pw5AODJoCdha2UrckBE1ajUA25KinrRwq4CVGlnxYuJiAyv0nfBh4mAUylw2AtY9O8P6sdN+Hz02JVjSDiiTvh/NewrSCVMoZERaWpCuZ492aOiorDtg21wtnYGPACENmyCUp0TsUQcvwHIbHg5eWGQ/yAAd3tiW6J/M/9Fxs0MONk44ZEOj4heM4qoqdo2b4sH2zwIAQJ+P/a72OEQUROMbD8SLe1bQlGkwNbzW6tdp0F1EU2YQqGoMhQWUA+NvfjBB7jRvg1WKBIBAFMuuooYJVEtKvWAG3cacC4BMpoDu5pdEzkwIjKoSt8FHreAD3aqF7+TuQAFpQUmez4qCAJmb5oNlaDC+M7j8UCbB8QOieh+TUko17Mnu1wux8A+A/HRoI/UCwYCgcGBDZqgVOdEKhHHJDqZlcolXQRBEDkacfx69FcAwPjO42FvbS96zSiyDDUlg3RVJ21yt8kAgF+P/WqxxzaRObCR2WiHQi86WndJF3MWFxenHQYbGRkJAIiJjIT3Rx9hSWcBpVZA0BUg9OVPTaK3HlmgSj3gHMqBCackAIAFl9eKHBgRGdQ9vWFfOSRFoJUHrty+ipgdMcZzPtrAmuxrzq7BtgvbYCOzweeDP9dzcERN0NiEcgN7sr/Q4wX4NfMDHIGENNMpyaRLTKKTWRnXaRwcrB2Qfj0dBy4fEDscg7tdfhv/nPoHwN0SGGLXjCLLUF0ySJd10sZ3Hg87KzucunoKSYokXYRMRCJ5ttuzAIAVqStws+SmuMGISDMZW1JSEuLj4wEAca+/DhmAhd3V60xJASRKldH31iMLVqkH3HMfqCcAX3pqKQpLC8WNi4gMq9J3gc35i/h2wkIAwDcHvsER2VXxz0cbWJP9VtktvLzhZQDArD6z4N/c3xBREhleA3qyW8us8fEDHwMA/rrwF05dPWWYGI0Ik+hkVprZNMO4juMAAL8dtbxJCNecXYP80ny0cWmDh3wfuvuAiDWjyDJUlwzSZZ00FzsXjO04FsDd0RZEZJpC5aHo0qoLSpWlWHJyidjhiEYul2uHwYaGhgIA2gwahNOtJNjvA8hUwFPHwdFjZPzu9IDrEzoGHVp2QHF5sbZTBxFZkEq9YYcHDMcTXZ6ASlBhxroZUD43Rbzz0UbUZI/ZEYPM/Ey0cWmD/zz0HwMFSiSSBvRkf6r3UxjdfjTKVeWIXBMJlaCqcxtzwiQ6mR1NSZe/Tv6FMmWZyNEYlia5+HTw0/dPeiJSzSiyDNUlgyrf10WdtMld1SVd/jzxp8Ud20TmRCKRYEr3KQBY0uVe5R4eWPT2cADAiDTA8zZHj5HpqHxsL0hZIG4wRCS6r4Z9BScbJxy8fBA/HPpBvPPRBtZkT8lJwVf7vwIA/Pjwj3C0cdR3hEQm5YeHf0Azm2bYe2kv5ifNFzscg2ISncxDpfpmg9oOgmczT1y/fR0b0jaIHZnB5N7Kxcb0jQAqlXIhMiND2g2Bh6MH8orzLOrYJjJHTwU/BalEir2X9uLstbNihyM6uVyO6OhouHu441ccBQBMGRfD0WNkcp7p+gykEin2ZO5B+nXDlCFSKBSIiYlp8vwrRNQwdR17Xk5e+O/g/wIA3tn2Ds5dP1fzzhpYr7xBGlCTvUxZhmdXPguloMT4zuMxsv1I3cdDZOJ8XHzw6cBPAQBvbXkLmfmZIkdkOEyik+m7p76Z1YJFeDJIPWnZLym/iByc4fx5/E8oBSV6te6Fjm4dxQ6HLJgmGaTrWbqtpFZ4KvgpAOoJRonIdMmd5BgeoO5xvSiFvdHlcjliYmJw8vZJZBdmo4V9C4wa97bue+vpM0lBBKC1c2sMbTcUALAwZaFBnlOhUCA2NpZJdCIDq8+xN6PHDIT7haO4vBjPr36++tIPDaxX3mANmCPso50f4diVY3BzcMN3I77TbRxEZuTFni+ir3dfFJYV4rlVz1lMWRcm0cm01VDfbFrrUQCAtWfX4nLBZREDNAxBEPDzkZ8B3C150SQ8yaYm0CSDdJ1EB4Bnu6snJFxzZg2uFV/T+f6JyHCe6/4cAPUF73JlucjRGAdNCYwng56ErZWtbneu7yQF0R2aY3vR0UVQqpQiR0NEYpJKpPhlzC9wtHbErou78OW+L6uu0Ih65Y1SjznCDl4+iM/2fAYA+GnkT/Bo5qHbGIjMiEwqw6Kxi+Bg7YDtF7bj+4Pfix2SQTCJTqathvpmnfIkeLDNg1AJKiQcMf+TxL2X9uJE7gnYW9njqa5PNW1nPMkmI9bVoytCPENQripnLWUiE/dIh0fg4eiBnKIcrD6zWuxwRHel6AqWpy4HADwf8vx9jzepZIWhkhREAMZ0GIPmds2RVZCFLee36OU5FAoFkpOTtTcAVe6zVzqRfjTm2PNv7o+vhqlrjL+77V0czj5898EG1itvklpqsueX5GPi0olQCkpMDJqIxzs/rvvnJzJx9/4WDWwZiDlD5gBQl3U5mnNUzPAMgkl0Mm211DeLCosCAPyc/LPZ94KZlzQPADApaBJc7VwbvyOeZJMJ0Bzb8w7Ps5hhY0TmyFpmjakh6p5gcUlxIkcjvgUpC1CuKkfv1r0RIg+57/EmlawwZJKCLJ6dlR2e6aqen+enwz/p5Tni4uIQFhaGsLAwREZGAgAiIyO1y+Li+J1CpA+NPfamhU7DY50eQ7mqHJOWTUJBaYH6gQbUK9cXQRAwbc00XLh5AX6ufvhppH6+t4hMXXW/RWf0mIGRgSNRqizFE389isIt68w6f8QkOpm2WuqbPdb5MbSwb4FLBZewId18JyG8VnwN/5z8B4D6C6xJeJJNJuCprk/BycYJadfTsP3CdrHDIaImiAyLhAQSbDm/xWCTEBojpUqpvZDQ5La8OkaQpCDL8kLPFwCoSyvqY8KxqKgoJCUlISkpCfHx8QCA+Ph47bKoqCidPycRNf7Yk0gkiB8djzYubZB+PR1TVk5Rd4ZpQL1yffnu4HdYemoprKRW+Pvxv6t2SmOZU6JaSSQSLBq7CN6y5jibfx7T40ZB8G1jthUNmEQn01dDfTM7Kzs8201dP3l+0nzx4tOzRUcXoVRZihDPEPTw6tG0nfEkm0xAM5tm2h5u8w7PEzkaImoKP1c/7QSj5txW12Xzuc3IuJkBVztXTOgyQbtcZyUrjCBJQZalo1tHRPhFQCWoEJ8Ur/P9y+VyhIaGam8AqtzXx7wsRNS0Y6+5fXMseXwJbGQ2WHF6BT7d/an6gXrUK9eX7Re2Y/am2QCALwZ/gV6te919kGVOier1W7Tl9dv4O/4mZCrgr2Dgi76C2VY0YBKdzEMN9c2mh00HAKxLW4dL+ZdECEy/BEHQJhFn9JgBiUTStB3yJJtMhKan5srTK5FdmC1yNETUFJrjeUHKApRWlNa5fpNqgxspTcmLKd2mwN7aXrtcpyUrRExSkGV6oYe6N3p8cjzKlGUiR0NExqC3d29tuZT/JP4HS08tVT9QS71yfUm/no7x/4yHUlDi6a5P47U+r919kGVOiQDU87doWhr6ZQr49k4BiHcGA6sDzLOiAZPoZNY6unXEAN8BZjvBaGJGItKup8HJxgmTgibpZqc8ySYTEOwRjP4+/aEUlPg5+WexwyGiJng48GG0dmqNvOI87cSatWlSbXAjlJmfiXVp6wAAUT2qDoPXeckKEZIUZLnGdhwLz2aeuHLrClaeXqm355HL5YiOjmbvcyIDa+yx93zI85jZcyYAYOKSiViRvEIf4dUqpygHwxYPw/Xb19HTqyfmj5pftUMay5wSAajnb9E7FQ1ePAS8eBAQJMCkx4C9Tjfv7shMSiMxiU5mr/IEoxWqCpGj0S1N/dSngp+Ck62T7nbMk2wyAZV7uJnbsU1kSaykVogMVfds0UyUbUl+Tv4ZKkGFCL8IdHTrWOUxlqwgU2Yts8a0kGkA9DfBKKA+TmJiYng8EBlYU469r4d/jXDPcCglSkzeMBlJ2Ul1b6SjJNzNkpsYvng4zt84j3bN22HNpDVVRoEBYJlTojvq9Vu0UkWDrzcCI9KAYhtg5NbncOzKMbMqjcQkOpm9Rzs9ipb2LXG58DLWp60XOxyduVJ0RdtjTy+TkBEZucc7Pw43BzdkFWRh3dl1YodDRE0wNXQqpBIpdl3chdSrqfc9rrPa4EamXFmuHU3DtpzM0fSw6ZBKpNiRsaPaY5uILJNMKsMnoZ8AF4GiiiIM/m0wDl0+VPMGOkrC5RXnYeCigTh65Sg8HD2w+ZnN8Gjmcf+KLHNK1DB3KhpYb0vE0o/Por9Pf9wsuYlBCyOQ/EGk2ZRGYhKdzJ6tlS2eD3kegHrmbXORcCQBFaoK9PHug26e3cQOh8jgbK1s8Xx39bFtib1XicyJt7M3RrcfDQD44dAP9z2u09rgRmT1mdVQFCng4eiBsR3H1rouS1aQKfJx8dEe25wMnIgqXxQ/dfQU8AcQYBOAmyU3MXDhQPxz+J/7N9JRffJL+ZcQvjAcR3KOwN3RHVue2YK2zdvWvAHLnBJVUedv0TsVDRz8ArH2ybUIk4chr+Q6IiYL2N2m0nomXBqJSXSyCC/1fAlSiRRbz2/F8SvHxQ6nycqUZfj+4PcAgBd7vChyNETi0UwevCl9E9KupYkcDRE1xcxe6vqoC1IW4MbtG1Ue03ltcCPx7cFvAQBTQ6bCRmZT67osWUGmSlN+beHRhSgqKxI5GiIS030XxUuB9Jh0IEPdI33i2olISL6nl7kO6pPvz9qPnvE9cfLqSXg5eWHnlJ0I9giue0OWOSXSashvUVc7V2x/djse9OiFAjtg8GQgIeTOgyZcGolJdLIIvq6+eLTTowCAbw58I3I0Tbfk5BIoihSQN5NjQtAEscMhEk27Fu0wMnAkBAj4av9XYodDRE0wyH8Qunp0RXF5sXbODw1zrA1+8PJB7Lq4C1ZSK7zYkxfEyXwNaTcEAS0CUFBagIUpC8UOh4hEVO1F8R/isffFvRjWehhUEhWmrZmGZ1c+i8LSQvVGTahPrhJU+HLflxiwcACu3LqCYPdg/Pv8v/fNQdJQCoUCMTExJltOjsgQnG2dsXFqIsbZhaDMCpj2CDB9jASFP33T5AtTKkGFpaeWGnxuNCbRyWLM6jMLALD42GLk3soVOZrGEwQBX+77EoC6115dPdeIzN0b/d4AACxMWYhrxddEjoaIGksikWB2n9kA1OXXypRlIkfUNHWdYM/dNxcA8GTwk2jt3NqQoREZlFQi1f4O/3Lfl5wM3IhlZGRg6tSp8Pf3h729Pdq1a4fo6GiUlZn29zEZj5ouivft2Rcbpm7Ah+EfQiqR4tejv6LrvK5YeXolhNatG1Wf/NiVYxi4aCBe3/w6ypRlGNdxHPZO3Qs/V78mvw6FQoHY2Fgm0Ynq4GDtgKVvHUZs6OsAgPhQAV2L52B92noIgtCofR5RHMEDvzyA8f+Mx4+HftRluHViEp0sRl/vvujp1ROlylL8cPD+equmYufFnTiScwT2VvaICjPN4etEujTAdwBC5aG4XXEbPx3+SexwiKixsrIw6Zoccgd3ZBdm4+8Tf1e7mqnUBq/tBDvjZgaWnloKAHi97+uGDo3I4KZ0nwI3BzdcuHkBy1OXix0O1eD06dNQqVSIi4vDyZMn8dVXX2HevHl49913xQ6NLIBEIsF/BvwHO6fshK+LLzJuZmDc3+MQsSgC6x70hOrC+XrVJ0/JScGUlVPQfV537Ly4E47WjogbFYdlTyxDM5tmANiTnMiQpBIpPhg9B9smb9Me2yP/GInwReHYfG4zVIKqzn0AwNGco3h6+dPoEd8D+7L2wdHaETKJTL/B30MiNDb1b4IKCgrg4uKC/Px8ODs7ix0OiWDJySWYsHQCWti3wMXXLmobUVPy8O8PY0P6BswIm4GfRjFhSAQAfxz/A08tfwoejh7IeC0DdlZ2YoekE2y3+B5YjIQE7aRhnz0owbuDBHTz6IYjUUcgkUjEjq5RkpOTERYWhqSkJG1vO43XNr6Gbw58gyFth2DzM5tFipDIsGJ2xCB2Zyx6ePXAwWkHTfbYrou5tVv/+9//8NNPP+H8+fP13sbc3gPSD4VCgbi4OERFRd13YbyorAj/3fNfzNk7B6XKUgCAr4svRrcfjQj/CHRy6wTPZp6QSWW4VnwN526cw+6Lu7E+fT0OZx/W7md85/H4fPDn8G/uX2X/tbXRtcWrSbonJycjMjIS8fHx2u3lcrnRX+AnElthaSFid8bi+4Pfa49tP1c/jO0wFgP8BqBDyw6QO8khCAIKSguQmpeKA1kHsPLMSqTkpGj380SXJzB36Fx4O+tmvoL6tltMopNFUaqU6PhDR6RfT8eXQ7/ErL6zxA6pQY4ojiB0fiikEinOzjyLdi3aiR0SkVEoV5Yj4LsAZOZn4seHf8QLPV8QOySdYLvF98AiZGUBvr7aScOu2wM+s4BiG2DrM1sxqO0gkQOsv/qcYNu52sHnKx/cKr+FTU9vwtB2Q8UMmchgrt66ijZft0FJRQkSn01EuF+42CHphbm1W++//z42btyIw4cP17hOaWkpSktLtfcLCgrg4+NjNu8BiSczPxPfHvgW8cnxKCgtqNc2VlIrPNrpUczuMxu9vXtXu05ycjLGhIVh+7x5aD9yZL3qM8fExCA2NrbGx6OjoxETE1OvGIlMQlaWemLfwECdT657Kf8Svvj3C/x27Dfkl+bXaxuZRIbxXcbjzX5vIlRev4tf9cUkejXM7QcNNU58Ujymr52O1k6tcf7V8yZVU/yJf57AP6f+wZPBT+L3R38XOxwio/L9we/x8oaX4evii7SX02AtsxY7pCZju8X3wCIkJgIDB1ZZNPNh4IdewMOBD2Pdk+tECqzh6nOCbTfYDu9sewfB7sE4OuOo2fbGJarOC2tfwLykeSZ3bDeEObVb586dQ2hoKObOnYtp06bVuF5N333m8B6QcbhVdgvbLmzD2rNrkaxIxplrZ1BUVgQAsJHaoCy3DEO7DsUTYU9gZPuR8Gzmed8+Kl/oLvrmG/T/9VfIAAhSKTLfew82L7xQa09y9kQni1JplCikUvW8BLWUUWqs2+W3sfbsWiRmJOLfo2twsTAL+XcGlcsECdo2D0Bo61AMazcMozuMhpuDm85jAJhEr5Y5/aChxiutKIX/N/5QFCkQPzoe00Jr/kFoTM7knUGnHzpBgIBjM44h2CNY7JCIjMrt8tvw/8YfV25dwYJHFmBK9ylih9RkbLf4HliEe3qiA0C6mxTtZwoQIODkiyfRuVVnEQOsv7pOsFu6t0Tfv/tCUaTAorGLMLnbZDHDJdKL2ko0pF1LQ4fvO0CAgBMvnEAX9y4iRak/xthu1XWBDwAOHTqEHj16aO9nZ2djwIABGDBgAH7++edat2VPdDI0QRBQoaqAUlDixNET6NmjZ52lWTTHQWsAFwFUrqRcAeDTyEiovLyq/e66V2PKwRCZjGp+m0MmU89HoOMe6dU9520rwEoFSFRA6vr1CB4xQj/PWUl9225OLEoWx9bKFm/2exMA8PGuj1GmNI3Z5j/a9REECBjTYQwT6ETVsLe2107Q9+nuT1GhqhA5IiKqF29vde8W2Z3TWZkMAf+dj0c6PgIA+OLfL+rchbFMECaXyxEaGqq9AahyPzEvEYoiBbycvDAxaKKosRLpS22T6ga2DMS4TuMAAHP3zTV0aBZr5syZSE1NrfUWFBSkXT87OxsRERHo27cv5s+fX+f+bW1t4ezsXOVGpE85OTk4fvQ4Th07hZQjKQDUiW3Nrbrvn6ioKCQlJWH7vHm4dypCKwDDAwLu/+7KylKPmMvK0ttrITI6aWlVE+gAoFQC6ekGeU77CsBapT4ubS9d0t9zNgKT6GSRZvSYAc9mnriYfxELjiwQO5w6nbp6Cn8c/wMA8MFDH4gcDZHxmtFjBlrat0Ta9TQsPrZY7HCIqL6mTlX3bklMVP+dOhXvPPAOAGDxscU4f6P2Ce1qS9oZiwpVBT7d/SkA4JVer5hUOTmihrh69WqVv/fSdGZZfGwxLuUb18mxuXJzc0PHjh1rvdnZqcfPX758GeHh4QgNDcWCBQsglTJlQMYnLi4OYWFhCAsLQ2RkJAAgMjJSuywuLu6+bTQXutuPHAnh3v/XMhnsg+/pqJaQoO4ZO3Cg+m9CQpV9RUdHs3wLmafAQHUJl8pkMiAgQOdPpekIc8XZ+b7jsgLA4Zs3a704ZmhsEcki2Vvb490H3gUAfLz7Y5RWlNaxhbiid0RDgIBHOz2KMK8wscMhMlpOtk54+4G3AQAxO2KM/tgmokq8vYHwcO0w0V6te2FYu2FQCkp8tvuzxu9XpF5k955g/3XiL6RdT0ML+xZ4seeLBo2FSN8UCoX2JHfPnj0AgD179lR74tvHuw/C/cJRrirHf/f8V6yQqRrZ2dkIDw+Hj48P5syZg6tXryInJwc5OTlih0ZUhaZXeVJSEuLj4wEA8fHx2mVRUVE1b+ztjcz33oNmzKogleLiu+/iwOXLANQ92o9v2ABBUw8aUP+NitL+lpDL5YiJiWESncxTNaNEERenl1Iumo4wlyUSrB45UntcVgCIAvDU//1frRfHDI010clilVSUIODbAFwuvIyvhn2F1/q8JnZI1TqiOILQ+aGQQIJjLxxDkHtQ3RsRmana6qxq3C6/jYDvApBdmI3vRnyHmb1mGjhK3WG7xffA0u29tBf9f+kPK6kV0l9Oh6+rr/axek3wtX69QSZFqotSpUSXH7vgzLUz+GTgJ3j3wXcNHgORPtVnUt2YmBjt/R0ZOxCxKAI2Mhukv5wOHxcfA0RpGKbcbi1cuBDPPfdctY81JG1gyu8BmZ7G1CdXKBT483//g11WFj795x9cvufxcACJ1W2YmKi+4E9kCbKy1CVcAgL0Vgu98vErl8uRl5IC20uXcPjmTTz1f/9nsMl7WROdqA52VnaIHhANQF1v/MbtGyJHdD9BEPDmFvWQ14lBE5lAJ4tXn5IN9tb2eP/B9wGo5z0oLC00VHhEpGP9fPphkP8gVKgq8PGuj6s8VtdQ7j//97+7CXTgvl5khvT3yb9x5toZNLdrbtIX9ohqMnbsWCxevBiLFy/G5MnqCXMnT56sXTZ27Ngq64f7hSPcLxxlyjL2RjciU6ZMgSAI1d6IzIlcLsfsL7/EuG++wepqerR/u359tSVf9FHOgsho3TNKVFcqj15LTk4GAO2otXIPDziNHo2OgwcDqDq3kDGM/GASnSzacyHPoUurLrh++7q2TqkxWZ+2HtsubIONzAafDPxE7HCITMbU0KkIaBGAK7eu8OScyMR9GPEhAGBBygKcvXZWu7yuodzP9utn+EmRqlGuLMcHier5TF7v+zqcbdkrk8zPypUr8fTTT+Ppp5/Gr7/+CgD49ddftctWrlx53zaazizxyfHIuJnRpOc3lsmFiUh/ajrOm1KfvKYJwYNHjIDEQOUsiCxNY+Y0MBZMopNFs5Ja4X9D/gcA+Pbgt7hw44L+n7SetVnLleV4Y8sbAIDXer8G/+b++o+NyAjVdKW6tglGbGQ2mDNkDgBg7r65TT45JyLx9PPph1HtR0EpKLXJaKDmE1/NrWWfPgabFKk2CUcScO7GObg7uuPVPq8a9LmJDKXyRa3331ePBnv//fdrrU8c7heOQf6DUK4qr3JsN4YpTC5MRE1T03Gut/rk1Ux6TkSNcE8OrD5zGhjr5L1MopPFGx4wHIPbDkaZsgyvbtTzyW0tM3zf68dDP+J03mm4ObixdipZtMZeqR7TYQwG+g9EqbIUb215y5AhE5GOfRyhLuXy98m/cURxpH4bGXBSpJoUlxcjdqe6TvR/HvoPmtk0M9hzExlS5YtaDzzwAADggQceqHMI9n8Hq0eLLT62GEdzjhosXiIyDFMaJVJt0k5P5SyILEY1OTDNbwa5XI5Dhw4BuL9si7FO3sskOlk8iUSCb4d/CyupFdacXYPVZ1br54mysupdm/VywWW8n3inpnPEx3Cxc9FPTEQmoD5XqqsjkUjw1bCvIJVI8c+pf7AxfaMhwyYiHerm2Q2TgiYBAF7f/Pp99Xlr7K0ici+yr/Z9hZyiHPi5+mF62HSDPjeRWFq1alXlb216ePXAhC4TIEDA29vebtDzNGakGhEZVlNHiRjyOK8uaWdKFwGIjE4dOTCFQoH58+eLGGDDMYlOBKBTq054o6+6dMorG17BrbJbun+StLR612Z9deOrKCorQl/vvogMi9R9LEQmpK6SDbVdne7q0RUv93oZAPDiuhdRXF5skJiJSPc+G/QZbGW2SMxIvO+Cd629VUTqRZZdmI3P9nwGAPhk4CewkdkY9PmJxNLQIdgfD/wYVlIrbEzfiE3pm+r9PKZcU5WI6kfs45ylooiaoJ45sOnTpxtdj/OaMIlOdMf7D72PNi5tcDH/It7dpofyKYGB9arNuur0KixLXQaZRIZ5o+ZBKuFhStQUH0V8BB9nH1y4eQExO2LEDoeIGsnX1Rez+84GALyx5Q2UKctEjqh272x7B7fKb6Gvd19tL3oiS9DQIdgBLQK0F7xf2/QaypXl9dqusSPViEi/dNl7vLbj/Nj69Xg5KKjOucaISCTV5MAEmQzHb9+u8v3Qs2dP7feGsV+wYnaO6A5HG0fMH6UeSvLtwW+ReCFRt09Qj9qsubdyEblGfYX99b6vo6tHV93GQGTiGjPBiJOtE354+AcA6klG92Tu0Vd4RKRn7zzwDjwcPZB+PR1f7ftK7HBqdCDrAH49+isA4Jvh30AikYgcEZFxix4QDXdHd5zOO43vD35fr22aMlKNiPRHl73HazzOjxxB8KhRaDl+fJ1zjTUUS0UR6Ug1ObDVDz+Mrg8/bLKjyCTCvUUlzVhBQQFcXFyQn58PZ2dnscMhIzVj7QzEJcXB18UXR2cc1X098qws9fCVgIAqCXRBEDDu73FYdWYVgt2DcSjyEGytbHX73EQWbPKKyfjt2G/wc/VDSlSKScw1wHaL7wHdb1HKIkxZNQX2VvY49dIp+Ln6iR1SFRWqCvSM74mUnBQ82+1ZLBy7UOyQiExCQnICpq2ZBmdbZ6S+lAovJ696b5ucnIywsDAkJSVpE21iYbvF98DSKRQKbaI5OTkZkZGRiI+P1x6bmkkDG0pznB9bvx7Bo0ZVLRMhk6nnPtFB6baYmBjExsbW+Hh0dDRiYmKa/DxEFqNSDkwhk+nl+6Gp6ttusSc60T3+N+R/8Hf1x8X8i3h+9fPqycuystSTkuliqFgNtVl/PPQjVp1ZBRuZDRY/upgJdCId+/7h7+Hn6oeMmxl4cf2L901MSESmYXK3yRjgOwC3K27j5Q0vG92x/PX+r5GSk4IW9i3wxZAvxA6HyGQ8F/IcerfujYLSAry84eUGbduYkWpEpB/6GiWiOc69bt2q91xjjcFSUUQ6VikH1pjvB2Oa4JdJdKJ7ONk64a/H/4K11BrLU5fjy28mqIeIDRyo86FiGnsv7cVrm14DoJ44jWVciHTP2dYZi8cthlQixR/H/8B3B78TOyQiagSJRIKfRv4Ea6k11p5di6WnloodklbGzQxE74gGoL4o7+7oLnJERKZDKpEifnQ8rKRWWJ66HCtSV9R724bWYSci06M5zlv26VOvucaa8jwsFUVkPIxpgl8m0Ymq0at1L3wz/BsAwP/d+Aeb/O9c6VapgKgonU5eklWQhceXPI4KVQWe6PIEZvWZpbN9E1FV/dv0x5whcwAAszfNxvYL20WOiIgao1OrTnj7gbcBAC+sewFXiq6IHBGgElR4btVzKC4vxkO+D+G57s+JHRKRyQn2CMZb/d4CALy0/iVcK74mckRE1BR6GSVSj7nGiMj4meIoMtZEr4ZSqUR5ef1mhSfzJQgC3v07Eivy9sChHPhtmYDuqXmQFRerS7uEhzf5Oa4VX8NDCx/Cqaun0KVVF+yfth/NbJo1PXgiqpEgCJi8cjIWH1sMVztXJD6biO6e3cUOq1qsKcr3gGpWpixDr/heOHrlKMZ0GIOVE1aKOoHnl/u+xOubX4ejtSNSZqQgoIVuesQRWZqSihKExIXgdN5pPNrpUSwdv9SkJudlu8X3gAykhrnGdEmhUCAuLg5RUVEmlegjqlFWFpCWBgQGGvWFJ33NrVCT+rZbTKJXIggCcnJycPPmTcMHR0ZJqKhA7s3LKLECpCoB7jfK4LFqLTw/+AASH58m7bugtADDFg/D/qz98HLywt7n98LX1VdHkRNRbW6X38aQ34bg30v/opVDK+x+bjc6uHUQO6z78CSU7wHV7tiVY+gxvwfKVeWYN3IeonqIU6f0+JXj6BnfE6XKUsSNisP0sOmixEFkLpIVyej9c29UqCqQMCYBz4c8L3ZI9cZ2i+8BEZFRSkgApk9XV1iQStUjOqZOFTuqahl6gl8m0atR15uiUChw8+ZNuLu7w8HBwaR6PJD+KK9fw4XbCnUivQyQ5Svh3rpNk656XSm6gof/eBjJimQ0t2uO3c/tRhf3LjqMmojqkl+Sj4hFETiScwQejh5Y++Ra9PDq0aR95hXn4T/b/4P/Df2fTkaV8CSU7wHVbc7eOXhzy5uwldli39R9CJGHGPT580vy0TO+J9Kup2Fk4EismbSGvyGJdOC/e/6Ld7a9AwdrBxyYdgBB7kFih1QvbLf4HhARGZ2sLPUcf5Un5ZXJgIwMo+yRbqw90a109ox6lJGRgY8++gjbt29HTk4OvLy88PTTT+O9996DjY2NTp5DqVRqE+gtW7bUyT7JTHi1RseS5ki7eR63rEsgSK1w6coluLu7Q6apw9YAx64cw2NLHkP69XS4Obhhw1MbmEAnEoGLnQs2Pb0JQ34bgqNXjmLAwgH4/dHfMbbj2EbtLyk7CY8ueRSZ+ZkorijGorGLdBswEVVrdt/Z2HVxF9acXYPx/4zHochDaG7f3CDPLQgCnlv1HNKup6GNSxssHLuQCXQiHXmz35vYdmEbtp7finF/j8OhyENwtXMVOywiIiLTk5ZWNYEOAEqluiSSESbRq0uSV57sVywmMbHo6dOnoVKpEBcXh5MnT+Krr77CvHnz8O677+rsOTQ10B0cHHS2TzIfVnYOaO/eCc62zhCsBFy7fQ3vbHoHN0tu1nsfSpUS3x34Dr3ieyH9ejp8XXzx7/P/NrnnKxE1XivHVtj13C4MaTsExeXFGPf3OEStiUJRWVG991GuLMfcvXPR/5f+yMzPRECLALzZ7009Rk1ElUklUiwcuxC+Lr44d+McHlvyGMqUZQZ57pgdMVhxegWspdb4Z/w/cHNwM8jzElkCmVSGPx/7E74uvki/no4nlz2JClWF2GERkYlRKBSIiYnR9molskiBgeoSLpXJZOo5BajeTCKJPnz4cCxYsABDhw5F27ZtMWbMGLzxxhtYvny5zp+LvYeoJjKpDIEtAtHKsRUkkGDJqSUI/C4Q3x74Fvkl+TVuV6GqwMrTK9E9rjte2fgKSpWlGNV+FA5FHkL7lu0N+AqIqDrOts5Y9+Q6zO4zGwAwP3k+Ar4NwDf7v8Gtsls1bleuLMc/J/9B6PxQvLHljSrHtqkMOScyFy3sW2DVxFVoZtMMiRmJmL5mOvRdsTAhOQEf7voQAPDjyB/Rq3UvvT4fkSVyc3DD8gnLYWdlhw3pGxC1JkrvxzYRGZa+k9wKhQKxsbFMopNl8/ZW10DXVFOQyYC4OKPshX4vuVyO6Ohoo5jc12Rror///vvYuHEjDh8+XO9taqtxU1JSggsXLsDf3x92dna6DpfMSElJCVLTUvHGwTewPWs7AMDeyh4PBz6MXq17wc/VDzKJDIoiBY7mHMXqs6uReysXANDcrjk+ivgIL/Z8kRdsiIzQ9gvbEbkmEudvnAcAOFg7YETACPRu3Rv+zf0hCALyivNw4PIBbD63GYoi9Y/xlvYt8d/B/8XzIc9DKtHd9WnWFOV7QA2zMX0jRv0xCkpBiVd6vYKvh3+tl/Z22allmLB0ApSCEu89+B4+Hvhx9StmZamHzwYGmsRJCpGxWn1mNcb9PQ4qQYX/6/9/+GzQZ0b7W5rtFt8Dapjk5GSEhYUhKSlJL6UaNPvfuHEj9u3bh6ioKKNIxhGJIitLXcIlIIC/TSsxq5ro9zp37hy+++47zJ07t9b1SktLUVpaqr1fUFCg79DIQthZ2WHlxJVYfGoxvj/0PU5dPYVlqcuwLHVZteu3cmiFqSFT8Vb/twxWp5WIGm6g/0Ccfuk0FqQswOf/fo7zN87Xemx7OHpgeth0vNr7VbR04HwaRGIbHjAc8aPj8fzq5/HtwW8hkUjw5bAvdXpx668Tf+Hp5U9DKSjxbLdn8VHER9WvmJAATJ+urj8plap7/0ydqrM4iCzJmA5jEDcqDpFrIvH5v5+jTFmGuUPnGm0inYjEde+khACwZ88efPzxxwgMDMTAgQOZSCfL5O1tnMlzE+l4ImpP9JiYGMTGxta6zqFDh9Cjx92a0dnZ2RgwYAAGDBiAn3/+uVH713dPdIVCgbi4OF7hNFP3/l8RBAEHLx/Ezos7cTj7MHJv5aJcVQ43BzcEtQpC/zb9MaTtEFjLrMUOnYgaQBAEHMk5grVn1+LMtTPIuJkBa6k1nGyd0N2jO/q36Y+B/gNhI9PNBNfVYU8uvgfUOD8n/4zINZEAgCe6PIGFjyyEvbV9k/YpCAK+2v8V3tzyJlSCCs92exYJYxIgk1YzyXhWFuDrW3UCJ5kMyMgw6hMDImP3w8EfMHPDTADA5G6TETcqDnZWTR9FnHghEeF+4TpJyrPd4ntAdbs3yR0ZGYn4+HhtT/TqJhVsiLpyTdHR0YiJiWn0/olIh4yg40l92y1Rk+h5eXnIy8urdR0/Pz9tUjs7OxsRERHo3bs3Fi5cCOm9RfHvUV1PdB8fH70n0fU9HOleS5cuRWxsLNLT0+Hg4ICQkBCsWrUKjo6Oen9uS8TSP0RkKKZ8EpqRkYGPPvoI27dvR05ODry8vPD000/jvffeg41N/S88mPJ7QOJalLIIkWsiUa4qR0+vnvjjsT8Q0KJxkycVlhbipfUv4bdjvwEAZoTNwA8jf6i5h3tiIjBwYPXLw8MbFQMRqS1MWYipq6dCJajQw6sHlo5fCl9X30bt62bJTby47kX8eeJPxI+Ox7TQaU2Oj+0W3wOqm76T3Jok/dWrV7U90CdPnoxff/0V77//Ph544AG0atWqycl6ImoiI+l4YhLlXNzc3ODm5lavdS9fvoyIiAiEhYVhwYIFdSbQAcDW1ha2trZNDdOoKRQKTJo0CV988QXGjRuHwsJC7N69mxPuEBGRqE6fPg2VSoW4uDgEBATgxIkTiIyMxK1btzBnzhyxwyML8Gz3Z+Hn6odHlzyKQ9mH0G1eN3w68FO80POFBo0g2ZC2ATPWzUBmfiZkEhm+GvYVZvaaWXuP1cBAdU+ae08IAhqXxCeiu6Z0n4LWTq0xadkkHM4+jKCfgvBxxMeY2Wtm9SNDqiEIAtaeXYuZG2Zqj+3rt6/rOXIi0oiKisKYMWMA1NwTvSk0yfGYmBh8/LF63pJff/0VALT3AfZIJxJdWlrV38sAoFSq67Yb4ehNk6iJnp2djfDwcLRp0wZz5szB1atXtY95enqKGNld1dXc0vwFmj4cqbbnraiowKOPPgpfX3UPjODgYJ0/DxERUUMMHz4cw4cP195v27Ytzpw5g59++olJdDKYAX4DcCTqCJ5b9Ry2X9iO1za9hm8OfIO3H3gbT3R5Aq52rtVuV64sx5bzW/DfPf/F7szdAAB/V38seGQBBvgNqPuJvb3VQ1GjotQnAjIZEBdnlCcDRKZoSLshSJqehCeXP4m9l/bitU2v4YdDP+CNfm/gyeAn0cymWbXblSnLsD5tPb7c96X22G7XvB0WP7oYfbz7GPIlEFm06vIjoaGhOh/JHxUVhcDAQDz99NN4//338fHHH+s0WU9ETWRiHU9MIom+efNmpKenIz09Hd73nHwYS4/ruLi4+4YjRUZGav+tryuc3bp1w6BBgxAcHIxhw4Zh6NChePzxx9G8OSevJCIi45Kfn48WLVqIHQZZmDYubbDlmS2YnzQfMTticOHmBUStjcLLG17GAN8B6O7ZHT7OPpBJZbhSdAWpeanYen4rbpTcAADYyGzwUs+X8FHER3C0aUCpvKlTgWHD1D1pAgKYQCfSMV9XX+x+bjd+Tv4Zb299G2nX07THdrhfOLp7dEcblzZQCSpcv30dR3KOYE/mHly7fQ0AYGdlh9d6v4Z3H3wXTrZOIr8aItIHuVyOgQMHIjo6Gn379gWgn2Q9ETWSiXU8EbUmuqHVVuOmqXWu9T0xRm0EQcDevXuxefNmrFixAjk5OThw4AD8/f318nyWjjXRichQzKmm6Llz5xAaGoq5c+di2rSaa842ZD4Tooa6VXYL8w7Pwy8pv+DU1VO1ruvu6I4ng57EG/3eQGvn1gaKkIgao7C0EAlHEvD9we9x7sa5Wtf1bOaJZ7o+g1d6vwJvZ92fpJtT291YfA+oIRQKBeLi4hAVFaXXnuGGnruOiBogK0vUjicmMbGooekziV6ZmF/OSqUSvr6+mD17NmbPnm3Q57YUTKITkaEY40loXRNBAcChQ4fQo0cP7f3s7GwMGDAAAwYMwM8//9yo/RvTe0CmTxAEnMg9gX1Z+3A05yjybuehQlWBFnYt0MGtA3q37o1+Pv3qXV+ZiIyDIAjYnbobny35DK2DW+OG8gaspFZoZt0MXdy7oFfrXujj3QdWUv0NyDbGttvQ+B6QMTJUsp6ITI9JTCxKTXfgwAFs27YNQ4cOhbu7Ow4cOICrV6+iU6dOYodGRERmaObMmZg4cWKt6/j5+Wn/nZ2djYiICPTt2xfz58+vc//vvPNOlYvAmp7oZIaystSTCQUGGrzHiUQiQbBHMII9OI8MkTmRSCRoVtIMG2M3srcpEVWhmWiUiKixmETXA7lcjujoaINc3XR2dsauXbvw9ddfo6CgAL6+vpg7dy5GjBih9+cmIiLL4+bmBjc3t3qte/nyZURERCAsLAwLFiyAVCqtcxtbW1vY2to2NUwydgkJwPTp6kmEpFJ1LcSpU8WOioiIiIiIqFpMouuBIa9wdurUCRs3bjTIcxEREdVXdnY2wsPD0aZNG8yZMwdXr17VPubp6SliZCS6rKy7CXRA/TcqSj0Jp5FOIkRExu3e+akq/wX0Oz8VERERWQYm0YmIiEjnNm/ejPT0dKSnp8P7nsSoBU3HQtVJS7ubQNdQKtWTCTGJTkSNEBcXd998GpGRkdp/R0dHs4wDERERNQmT6ERERKRzU6ZMwZQpU8QOg4xRYKC6hEvlRLpMBgQEiBcTEZm0qKgojBkzBoC6B3pkZCTi4+O1NdHZC52IiMgEiDhnUn0wp2rtUAAAIgVJREFUiU5EREREhuPtra6BHhWl7oEukwFxcUb5Q5mITEN15VpCQ0M5sSgREZGpMIE5k+qe4YuIiIiISJemTgUyMoDERPVfI/uBTEREREREBlLTnElZWeLGdQ/2RCciIiIiw/P2Zu9zItI5uVyO6OholnAhIiIyFSYyZxJ7ohMREREREZFZkMvliImJYRKdiLQUCgViYmKgUCjEDoWIqqOZM6kyI5wziUl0IiIiIiIiMk1ZWerSUEY25JuIjIdCoUBsbCyT6ETGSjNnkkymvm+kcyYxiU5ERERERESmJyEB8PUFBg5U/01IEDsiIiIiagwTmDOJNdGJiIiIiIjItNQ0CdmwYUbXc42IDE+hUGh7nicnJ1f5C6hLP7HsE5GRMfI5k9gTnYiIqKk4lJzIuPCYJDJ/tU1CRkQWLy4uDmFhYQgLC0NkZCQAIDIyUrssLi5O5AiJyNQwiW7CJBJJrbcpU6aIHSIRkfnjUHIi48JjksgymMgkZEQkjqioKCQlJSEpKQnx8fEAgPj4eO2yqKgokSMkIlPDci4mrPKkGH///Tc++OADnDlzRrvM3t5ejLCIiCwHh5ITGRcek0SWQzMJWVSUuge6kU5CRkTiqK5cS2hoKEJDQ0WKiIhMHXui64OBhhB7enpqby4uLpBIJNr7paWlePrpp9G8eXM4OjqiS5cuWL9+vV7jISKyOBxKTmRceEwSWRYTmISMiIiIzAN7outaQsLdHlBSqbp3hAg/5l566SWUlZVh165dcHR0xKlTp9CsWTODx0FEZNY0Q8krJ+04lJxIPDX91nF0NGwcRGQ4Rj4JGRGJTy6XIzo6mhOJElGTMImuS0Y0hDgzMxOPPfYYgoODAQBt27Y16PMTEVkEDiUnMi5FRdUvv3XLsHEQERGR0ZDL5YiJiRE7DCIycSznoktGNIT4lVdewccff4z+/fsjOjoax44dM3gMREQWgUPJiYwHJxokImqSMWPGoE2bNrCzs4NcLsczzzyD7OxsscMiIiISHZPoumREJ27Tpk3D+fPn8cwzz+D48ePo0aMHvvvuO4PHQURkEby9gfBw9kAnEptmdIhMpr7P0SFERA0SERGBJUuW4MyZM1i2bBnOnTuHxx9/XOywiIiIRMckui4Z2Ymbj48PZsyYgeXLl+P1119HfHy8KHEQERERGQxHhxARNdqsWbPQp08f+Pr6ol+/fnj77bexf/9+lJeXix0aERGRqFgTXdemTlXXQE9PV/dAFymB/tprr2HEiBFo3749bty4ge3bt6NTp06ixEJERERkUJxokIioya5fv47ff/8d/fr1g7W1tdjhEBERiYo90fXBCIb1K5VKvPTSS+jUqROGDx+ODh064McffxQtHiIiIiIiIjJ+//d//wdHR0e0bNkSmZmZWLVqVa3rl5aWoqCgoMqNiIjI3DCJbiamTJmCmzdvau9/9913SE9PR0lJCXJzc/Hrr7+iZcuW4gVIREREREREBhcTEwOJRFLr7fDhw9r133zzTRw5cgSbN2+GTCbD5MmTIQhCjfv/7LPP4OLior35+PgY4mUREREZFMu5EBEREREREZmpmTNnYuLEibWu4+fnp/23m5sb3Nzc0L59e3Tq1Ak+Pj7Yv38/+vbtW+2277zzDmbPnq29X1BQwEQ6ERGZHSbRiYiIiIiIiMyUJineGJoe6KWlpTWuY2trC1tb20btn4iIyFQwiU5ERERERERk4Q4ePIiDBw/igQceQPPmzXH+/Hl88MEHaNeuXY290ImIiCwFa6ITERERERERWTh7e3ssX74cgwYNQocOHfD8888jKCgIO3fuZE9zIiKyeOyJTkRERERERGThgoODsX37drHDICIiMkrsiU5EREREZkuhUCAmJgYKhULsUIiIiIiIyEQxiU5kZHiyT0REpDsKhQKxsbH6aVezsoDERPVfIiIiIiIyW0yiExkZvZ7sExERkW4kJAC+vsDAgeq/CQliR0RERERERHrCmuhEREREZFYUCoX2YnRycnKVvwAgl8shl8sb/wRZWcD06YBKpb6vUgFRUcCwYYC3d+P3S0RERERERok90c3YlClTMHbsWL0/z+nTp9GnTx/Y2dmhe/fuen++2sTExIgeQ2MoFAokJydrbwCq3GevdCIiovqLi4tDWFgYwsLCEBkZCQCIjIzULouLi2vaE6Sl3U2gayiVQHp60/ZLRERERERGiT3Rzdg333wDQRD0/jzR0dFwdHTEmTNn0KxZM70/n4ZEIsGKFSuqXCh444038PLLLxssBl2Ji4tDbGxslWWak35A/R7HxMQYOCoiIiLTFBUVhTFjxgBQX5SOjIxEfHw8QkNDAaBpvdABIDAQkEqrJtJlMiAgoGn7JSIiIiIio8QkuhlzcXExyPOcO3cOI0eOhK+vr0GerzbNmjUzaCJfV/R+sk9ERGRBqivXEhoaqm1Xm8zbG5g/X13CRalUJ9Dj4ljKhYiIiIjITLGci4lbunQpgoODYW9vj5YtW2Lw4MG4desWgPvLuYSHh+OVV17BW2+9hRYtWsDT0/O+3s35+fmYPn063N3d4ezsjIEDB+Lo0aM1Pr9EIkFSUhI+/PBDSCQSxMTEYMeOHZBIJLh586Z2vZSUFEgkEmRkZAAAFi5cCFdXV2zatAmdOnVCs2bNMHz48PvKlvzyyy/o0qULbG1tIZfLMXPmTACAn58fAGDcuHGQSCTa+/eWc1GpVPjwww/h7e0NW1tbdO/eHRs3btQ+npGRAYlEguXLlyMiIgIODg7o1q0b9u3bV493X3fkcrn25F5zgl/5PpPoRERERmbqVCAjA0hMVP+dOlXsiIgsR1aW+tjLyhI7EiIiIrIQTKLXQBAE3Cq7JcqtviVYFAoFJk2ahOeffx6pqanYsWMHHn300Vq3X7RoERwdHXHgwAF88cUX+PDDD7Flyxbtax45ciRycnKwfv16JCUlITQ0FIMGDcL169drjKFLly54/fXXoVAo8MYbb9T7PS4uLsacOXPw22+/YdeuXcjMzKyy/U8//YSXXnoJ06dPx/Hjx7F69WoE3BkmfejQIQDAggULoFAotPfv9c0332Du3LmYM2cOjh07hmHDhmHMmDFIS0urst57772HN954AykpKWjfvj0mTZqEioqKer8WY6JQKBATE8M66kRERFBfqI6OjtbPBWlvbyA8nD3QiQwpIQHw9QUGDlT/TUgQOyIiIiKyACznUoPi8mI0+0ycsiBF7xTB0caxzvUUCgUqKirw6KOPakupBAcH17pN165dER0dDQAIDAzE999/j23btmHIkCFITEzE8ePHkZubC1tbWwDAnDlzsHLlSixduhTTp0+/b3+enp6wsrJCs2bN4Onp2aDXWV5ejnnz5qFdu3YAgJkzZ+LDDz/UPv7xxx/j9ddfx6uvvqpd1rNnTwBAq1atAACurq61Pu+cOXPwf//3f5g4cSIA4PPPP0diYiK+/vpr/PDDD9r13njjDYwcORIAEBsbiy5duiA9PR0dO3Zs0GvShaae7CsUCsTGxmLMmDHswU5ERBZPLpfrf16RrCz1ZKOBgUyoE+lTVhYwffrd+QhUKnVZpWHDeOwRWRq2vURkYOyJbsK6deuGQYMGITg4GOPHj0d8fDxu3LhR6zZdu3atcl8ulyM3NxcAkJSUhKKiIrRs2VJbW7xZs2a4cOECzp07p/P4HRwctAn0e2PJzc1FdnY2Bg0a1Oj9FxQUIDs7G/3796+yvH///khNTa2yrPL7okk8a2IxNM3JPhPgREREJoC9YokMJy2t6oS+gHpegvR0ceIhInGw7SUiEbAneg0crB1Q9E6RaM9dHzKZDFu2bMHevXuxefNmfPfdd3jvvfdw4MAB+Pv7V7uNtbV1lfsSiQSqOz9EVSoV5HI5duzYcd92rq6u9Y5fKlVfm6lcVqa8vLxesWi2sbe3r/fz1UUikVS5LwjCfcsqx6J5THXvD3QjplAotOVbkpOTq/wFqp9gjYiIiJqIvWKJDCswEJBKqybSZTLgTslHIrIAbHuJSCRMotdAIpHUq6SK2CQSCfr374/+/fvjgw8+gK+vL1asWIHZs2c3eF+hoaHIycmBlZWVdqLOxtCUWlEoFGjevDkA9cSiDeHk5AQ/Pz9s27YNERER1a5jbW0NpVJZ4z6cnZ3h5eWFPXv24KGHHtIu37t3L3r16tWgeIxdXFwcYmNjqyyLjIzU/js6Olr/Q9mJiIgsTW29YnkiT6R73t7A/PnqhJlSqU6gx8XxeCOyJGx7iUgkTKKbsAMHDmDbtm0YOnQo3N3dceDAAVy9ehWdOnVq1P4GDx6Mvn37YuzYsfj888/RoUMHZGdnY/369Rg7dix69OhRr/0EBATAx8cHMTEx+Pjjj5GWloa5c+c2OJ6YmBjMmDED7u7uGDFiBAoLC/Hvv//i5ZdfBgBtkr1///6wtbXVJuwre/PNNxEdHY127dqhe/fuWLBgAVJSUvD77783OB5jFhUVhTFjxgBQ90CPjIxEfHw8QkNDAYC90ImIiPSBvWKJDG/qVHWP0/R09bHGpBmRZWHbS0QiYRLdhDk7O2PXrl34+uuvUVBQAF9fX8ydOxcjRoxo1P4kEgnWr1+P9957D88//zyuXr0KT09PPPTQQ/Dw8Kj3fqytrfHnn3/ihRdeQLdu3dCzZ098/PHHGD9+fIPiefbZZ1FSUoKvvvoKb7zxBtzc3PD4449rH587dy5mz56N+Ph4tG7dGhkZGfft45VXXkFBQQFef/115ObmonPnzli9ejUCAwMbFIuxq65cS2hoqDaJTkRERHrAXrFE4vD25nFGZKnY9hKRSCRC5cLVZq6goAAuLi7Iz8+Hs7NzlcdKSkpw4cIF+Pv7w87OTqQIyRQY+/+V5ORkhIWFISkpiUl0IhNXW7tlKfgekEnIymKvWCICwHYL4HtABsK2l4h0pL7tFnuiE5kZuVyO6OholnAhIiIyFPaKJSIiMiy2vURkYEyiE5kZuVzOSUSJiIiIiIiIiIh0RCp2AERERERERERERERExopJdCIiIiIiIiIiIiKiGjCJTkRERERERERERERUAybR7yEIgtghkJHj/xEiIiIiIiIiIiLLwST6HdbW1gCA4uJikSMhY6f5P6L5P0NERERERERERETmy0rsAIyFTCaDq6srcnNzAQAODg6QSCQiR0XGRBAEFBcXIzc3F66urpDJZGKHRERERERERERERHrGJHolnp6eAKBNpBNVx9XVVft/hYiIiIiIiIiIiMwbk+iVSCQSyOVyuLu7o7y8XOxwyAhZW1uzBzoREREREREREZEFYRK9GjKZjIlSIiIiIiIiIiIiIuLEokRERERERERERERENWESnYiIiIiIiIiIiIioBkyiExERERERERERERHVwKJqoguCAAAoKCgQORIiIqK6adorTftlidh2ExGRKWHbzbabiIhMS33bbotKohcWFgIAfHx8RI6EiIio/goLC+Hi4iJ2GKJg201ERKaIbTfbbiIiMi11td0SwYIukatUKmRnZ8PJyQkSiaRJ+yooKICPjw8uXboEZ2dnHUVoWObwGgDzeB18DcaBr8E48DXcJQgCCgsL4eXlBanUMiuwse2uyhxeA2Aer4OvwTjwNRgHvoa72Haz7b6XObwGwDxeB1+DceBrMA58DXfVt+22qJ7oUqkU3t7eOt2ns7Ozyf5n0zCH1wCYx+vgazAOfA3Gga9BzVJ7sWmw7a6eObwGwDxeB1+DceBrMA58DWpsu9l2V8ccXgNgHq+Dr8E48DUYB74Gtfq03ZZ5aZyIiIiIiIiIiIiIqB6YRCciIiIiIiIiIiIiqgGT6I1ka2uL6Oho2Nraih1Ko5nDawDM43XwNRgHvgbjwNdA+mIOn4s5vAbAPF4HX4Nx4GswDnwNpC/m8LmYw2sAzON18DUYB74G48DX0HAWNbEoEREREREREREREVFDsCc6EREREREREREREVENmEQnIiIiIiIiIiIiIqoBk+hERERERERERERERDVgEr0Wn3zyCfr16wcHBwe4urpWu05mZiZGjx4NR0dHuLm54ZVXXkFZWVmt+y0tLcXLL78MNzc3ODo6YsyYMcjKytLDK6hqx44dkEgk1d4OHTpU43ZTpky5b/0+ffroPd6a+Pn53RfP22+/Xes2giAgJiYGXl5esLe3R3h4OE6ePGmgiKvKyMjA1KlT4e/vD3t7e7Rr1w7R0dF1/r8xhs/hxx9/hL+/P+zs7BAWFobdu3fXuv7OnTsRFhYGOzs7tG3bFvPmzTNQpPf77LPP0LNnTzg5OcHd3R1jx47FmTNnat2mpmPm9OnTBoq6qpiYmPti8fT0rHUbY/oMgOqPX4lEgpdeeqna9Y3hM9i1axdGjx4NLy8vSCQSrFy5ssrjjf1+WbZsGTp37gxbW1t07twZK1as0NMrsCxsu9WMoc2ojG032+7GYNst/mcAsO2ujG23frDtVjOGNqMytt1suxuDbbf4nwHAtrsynbbdAtXogw8+EL788kth9uzZgouLy32PV1RUCEFBQUJERISQnJwsbNmyRfDy8hJmzpxZ635nzJghtG7dWtiyZYuQnJwsRERECN26dRMqKir09ErUSktLBYVCUeU2bdo0wc/PT1CpVDVu9+yzzwrDhw+vst21a9f0GmttfH19hQ8//LBKPIWFhbVu89///ldwcnISli1bJhw/flyYMGGCIJfLhYKCAgNFfdeGDRuEKVOmCJs2bRLOnTsnrFq1SnB3dxdef/31WrcT+3P466+/BGtrayE+Pl44deqU8OqrrwqOjo7CxYsXq13//PnzgoODg/Dqq68Kp06dEuLj4wVra2th6dKlBou5smHDhgkLFiwQTpw4IaSkpAgjR44U2rRpIxQVFdW4TWJiogBAOHPmTJX3Xd/Hak2io6OFLl26VIklNze3xvWN7TMQBEHIzc2tEv+WLVsEAEJiYmK16xvDZ7B+/XrhvffeE5YtWyYAEFasWFHl8cZ8v+zdu1eQyWTCp59+KqSmpgqffvqpYGVlJezfv1/Pr8b8se1WE7vNuBfbbrbdjcG2W/zPQBDYdmuw7dYftt1qYrcZ92Lbzba7Mdh2i/8ZCALbbg1dt91MotfDggULqm3M169fL0ilUuHy5cvaZX/++adga2sr5OfnV7uvmzdvCtbW1sJff/2lXXb58mVBKpUKGzdu1HnstSkrKxPc3d2FDz/8sNb1nn32WeGRRx4xTFD14OvrK3z11Vf1Xl+lUgmenp7Cf//7X+2ykpISwcXFRZg3b54eImy4L774QvD39691HbE/h169egkzZsyosqxjx47C22+/Xe36b731ltCxY8cqy6KiooQ+ffroLcaGyM3NFQAIO3furHEdTUNy48YNwwVWi+joaKFbt271Xt/YPwNBEIRXX31VaNeuXY0nFMb2GdzbmDf2++WJJ54Qhg8fXmXZsGHDhIkTJ+o8ZkvFtpttt76x7TY8tt3GgW33XWy7dYttN9tufWPbbXhsu40D2+67mtJ2s5xLE+zbtw9BQUHw8vLSLhs2bBhKS0uRlJRU7TZJSUkoLy/H0KFDtcu8vLwQFBSEvXv36j3mylavXo28vDxMmTKlznV37NgBd3d3tG/fHpGRkcjNzdV/gLX4/PPP0bJlS3Tv3h2ffPJJrUOyLly4gJycnCrvua2tLQYMGGDw97wm+fn5aNGiRZ3rifU5lJWVISkpqcp7CABDhw6t8T3ct2/ffesPGzYMhw8fRnl5ud5ira/8/HwAqNf7HhISArlcjkGDBiExMVHfodUqLS0NXl5e8Pf3x8SJE3H+/Pka1zX2z6CsrAyLFy/G888/D4lEUuu6xvQZVNbY75eaPhtj+U4yZ2y7xcO2m213U7HtFv8zYNvNtlsMbLvFw7abbXdTse0W/zNg2627tptJ9CbIycmBh4dHlWXNmzeHjY0NcnJyatzGxsYGzZs3r7Lcw8Ojxm30JSEhAcOGDYOPj0+t640YMQK///47tm/fjrlz5+LQoUMYOHAgSktLDRRpVa+++ir++usvJCYmYubMmfj666/x4osv1ri+5n2997MS4z2vzrlz5/Ddd99hxowZta4n5ueQl5cHpVLZoPewuuPDw8MDFRUVyMvL01us9SEIAmbPno0HHngAQUFBNa4nl8sxf/58LFu2DMuXL0eHDh0waNAg7Nq1y4DR3tW7d2/8+uuv2LRpE+Lj45GTk4N+/frh2rVr1a5vzJ8BAKxcuRI3b96s9YTC2D6DezX2+6Wmz8YYvpPMHdtutt26wLbb8Nh2i/8ZAGy7jfU7ydyx7WbbrQtsuw2Pbbf4nwHAtluX30lWjdrKhMXExCA2NrbWdQ4dOoQePXrUa3/VXcURBKHOqzu62EajMa8pKysLmzZtwpIlS+rc/4QJE7T/DgoKQo8ePeDr64t169bh0UcfbVTM92rIa5g1a5Z2WdeuXdG8eXM8/vjj2qvkNbn3/W3Ke16dxnwO2dnZGD58OMaPH49p06bVuq0hPoe6NPQ9rG796pYb2syZM3Hs2DHs2bOn1vU6dOiADh06aO/37dsXly5dwpw5c/DQQw/pO8z7jBgxQvvv4OBg9O3bF+3atcOiRYswe/bsarcx1s8AUJ9QjBgxokqvonsZ22dQk8Z8v+j7O8mcsO1WY9vNtrsx2Haz7dYltt1su+uLbbca22623Y3Btpttty6x7dbdd5LFJdFnzpyJiRMn1rqOn59fvfbl6emJAwcOVFl248YNlJeX33elo/I2ZWVluHHjRpWr4rm5uejXr1+9nvdejXlNCxYsQMuWLTFmzJgGP59cLoevry/S0tIavG1NmvK5aGbKTk9Pr7Yx18yinJOTA7lcrl2em5tb4+fUGA19DdnZ2YiIiEDfvn0xf/78Bj+fPj6Hmri5uUEmk913ta6299DT07Pa9a2srGr90aVvL7/8MlavXo1du3bB29u7wdv36dMHixcv1kNkDefo6Ijg4OAa/w8Y62cAABcvXsTWrVuxfPnyBm9rTJ9BY79favpsdPmdZE7Ydqux7Wbb3RBsu+8ypnaDbbf42HYbBttuNbbdbLsbgm33XcbUbrDtFp+xtN0Wl0R3c3ODm5ubTvbVt29ffPLJJ1AoFNoPcfPmzbC1tUVYWFi124SFhcHa2hpbtmzBE088AQBQKBQ4ceIEvvjii0bF0dDXJAgCFixYgMmTJ8Pa2rrBz3ft2jVcunSpyn/cpmrK53LkyBEAqDEef39/eHp6YsuWLQgJCQGgrgm1c+dOfP75540LuBoNeQ2XL19GREQEwsLCsGDBAkilDa+spI/PoSY2NjYICwvDli1bMG7cOO3yLVu24JFHHql2m759+2LNmjVVlm3evBk9evRo1P+7phIEAS+//DJWrFiBHTt2wN/fv1H7OXLkiEHe8/ooLS1FamoqHnzwwWofN7bPoLIFCxbA3d0dI0eObPC2xvQZNPb7pW/fvtiyZUuVHj6bN29u9EmduWPbzbYbYNvdUGy77zKmdoNtt/jYdhsG22623QDb7oZi232XMbUbbLvFZzRtd6OmI7UQFy9eFI4cOSLExsYKzZo1E44cOSIcOXJEKCwsFARBECoqKoSgoCBh0KBBQnJysrB161bB29tbmDlzpnYfWVlZQocOHYQDBw5ol82YMUPw9vYWtm7dKiQnJwsDBw4UunXrJlRUVBjkdW3dulUAIJw6daraxzt06CAsX75cEARBKCwsFF5//XVh7969woULF4TExEShb9++QuvWrYWCggKDxFvZ3r17hS//v537B6ly/+MA/r23jmllkhCpgwUFOkRkUEFEUkOLEtESDuIcORQRubmFLeUSTuLgUmS1VFAEGlQYFSGWUcMp+zs0RhpBfX5DV7Hyub/7s3s9x/t7veAM+jzC53u+h+ct7/PwnDoVDx8+jHw+H+fOnYuamprYu3dv5hoiIrq6uqKioiIuXrwYo6Oj0dLSEtXV1QVZw5s3b2L9+vWxe/fueP36dbx79276NVOx7cPZs2cjl8tFb29vjI2NxeHDh2PZsmXx4sWLiIjo6OiI1tbW6fPz+XwsXbo0jhw5EmNjY9Hb2xu5XC4GBgbmZd4fHTx4MCoqKmJoaOi793xiYmL6nB/XcPr06bh06VI8e/YsHj16FB0dHZFSigsXLhRiCXH06NEYGhqKfD4fw8PD0dzcHOXl5QtmD6Z8+fIlamtr4/jx4z8dK8Y9+PDhw/T1P6U0fQ0aHx+PiL92fWltbY2Ojo7pn2/fvh2LFi2Krq6uePLkSXR1dcXixYtjeHh43tb1byW7iyMzZpLdsnuuZHfh92CK7Jbd/yTZXRyZMZPslt1zJbsLvwdTZPffn91K9D/R1tYWKaWfXoODg9PnjI+PR1NTU5SVlUVlZWW0t7fHp0+fpo8/f/78p7+ZnJyM9vb2qKysjLKysmhubo6XL1/O27paWlpi+/btmcdTStHX1xcRERMTE7Fnz55YtWpV5HK5qK2tjba2tnmdd6YHDx7Etm3boqKiIkpLS6Ouri46Ozvj48eP3503cw0REV+/fo3Ozs6oqqqKJUuWxM6dO2N0dHSep/+mr69v1s/Vj99pFeM+nDlzJtasWRMlJSWxefPmuHnz5vSxtra2aGxs/O78oaGhaGhoiJKSkli7dm309PTM67wzZb3nMz8nP67h5MmTsW7duigtLY2VK1fGjh074sqVK/M//B8OHDgQ1dXVkcvloqamJvbv3x+PHz+ePl7sezDl2rVrkVKKp0+f/nSsGPdgcHBw1s9OW1tbRPy160tjY+P0+VPOnz8fdXV1kcvlor6+vmD/JP7byO7iyYwpslt2z5XsLvweTJHd38juf4bsLp7MmCK7Zfdcye7C78EU2f3N35ndv0X88bR7AAAAAADgO//7A6EAAAAAAOD/hBIdAAAAAAAyKNEBAAAAACCDEh0AAAAAADIo0QEAAAAAIIMSHQAAAAAAMijRAQAAAAAggxIdAAAAAAAyKNEBAAAAACCDEh0AAAAAADIo0QEAAAAAIIMSHZiT9+/fp6qqqnTixInp3929ezeVlJSk69evF3AyAGA2shsAFhbZDcXjt4iIQg8BLExXr15N+/btS3fu3En19fWpoaEhNTU1pe7u7kKPBgDMQnYDwMIiu6E4KNGBX3Lo0KF048aNtGXLljQyMpLu3buXSktLCz0WAJBBdgPAwiK7ofCU6MAvmZycTBs2bEivXr1K9+/fTxs3biz0SADAn5DdALCwyG4oPM9EB35JPp9Pb9++TV+/fk3j4+OFHgcA+C9kNwAsLLIbCs+d6MCcff78OW3dujVt2rQp1dfXp1OnTqXR0dG0evXqQo8GAMxCdgPAwiK7oTgo0YE5O3bsWBoYGEgjIyNp+fLladeuXam8vDxdvny50KMBALOQ3QCwsMhuKA4e5wLMydDQUOru7k79/f1pxYoV6ffff0/9/f3p1q1bqaenp9DjAQA/kN0AsLDIbige7kQHAAAAAIAM7kQHAAAAAIAMSnQAAAAAAMigRAcAAAAAgAxKdAAAAAAAyKBEBwAAAACADEp0AAAAAADIoEQHAAAAAIAMSnQAAAAAAMigRAcAAAAAgAxKdAAAAAAAyKBEBwAAAACADEp0AAAAAADI8B9dKR4JtXLj2AAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# 设置随机数种子以获得可重现的结果\n",
    "np.random.seed(0)\n",
    "\n",
    "# 定义正弦函数(该函数振幅为五，频率为1/2)\n",
    "def sine_function(x):\n",
    "    return 2*np.sin(x/2)\n",
    "\n",
    "# 定义高斯噪声函数\n",
    "def gaussian_noise(size, variance=0.01):\n",
    "    return np.random.normal(0, variance, size)\n",
    "\n",
    "# 生成训练数据集\n",
    "def generate_train_data(size, variance):\n",
    "    x = np.random.uniform(-10, 10, size)\n",
    "    y = np.add(sine_function(x) ,gaussian_noise(size, variance))\n",
    "    return x, y\n",
    "\n",
    "# 生成测试数据集\n",
    "def generate_test_data(size, variance):\n",
    "    x = np.random.uniform(-10, 10, size)\n",
    "    y = np.add(sine_function(x) ,gaussian_noise(size, variance))\n",
    "    return x, y\n",
    "\n",
    "# 生成训练集和测试集\n",
    "#s\n",
    "x_s, y_s = generate_train_data(20, 0.5)\n",
    "x_Ts, y_Ts = generate_test_data(20, 0.5)\n",
    "\n",
    "#m\n",
    "x_m, y_m = generate_train_data(40, 0.5)\n",
    "x_Tm, y_Tm = generate_test_data(40, 0.5)\n",
    "\n",
    "#l\n",
    "x_l, y_l = generate_train_data(80, 0.5)\n",
    "x_Tl, y_Tl = generate_test_data(80, 0.5)\n",
    "\n",
    "# 绘制图像\n",
    "plt.figure(figsize=(15, 5))\n",
    "\n",
    "a = np.arange(-10, 10, 0.1)\n",
    "# s\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.plot(x_s, y_s, 'k+', label='s')\n",
    "plt.plot(x_Ts, y_Ts, 'r.', label='Ts')\n",
    "plt.plot(a ,sine_function(a), 'g-', label='sine function')\n",
    "plt.title('s data')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "#m\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.plot(x_m, y_m, 'k+', label='m')\n",
    "plt.plot(x_Tm, y_Tm, 'r.', label='Tm')\n",
    "plt.plot(a ,sine_function(a), 'g-', label='sine function')\n",
    "plt.title('m data')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "#l\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.plot(x_l, y_l, 'k+', label='l')\n",
    "plt.plot(x_Tl, y_Tl, 'r.', label='Tl')\n",
    "plt.plot(a ,sine_function(a), 'g-', label='sine function')\n",
    "plt.title('l data')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "# 显示图像\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ],
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-03-22T08:48:57.308172Z",
     "start_time": "2024-03-22T08:48:56.828617Z"
    }
   },
   "id": "initial_id",
   "execution_count": 64
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "#生成一个基函数矩阵，从 1 ，x, x^2,开始\n",
    "def get_DesignM(x,k):\n",
    "    x_new = np.expand_dims(x, 1)\n",
    "    x_new = np.tile(x_new,k)\n",
    "    power_num = np.arange(0, k)\n",
    "    D = np.power(x_new, power_num)\n",
    "    return  D\n",
    "\n",
    "\n",
    "#利用最大似然估计计算出，权重和噪声的极大似然值\n",
    "def Linear_Basic_Function_Regression(x, y, k):\n",
    "    #Design矩阵\n",
    "    D = get_DesignM(x, k)\n",
    "    \n",
    "    \n",
    "    #权重\n",
    "    W = np.dot(np.dot(np.linalg.inv(np.dot(D.T, D)),D.T), y.T)\n",
    "    #噪声方差\n",
    "    V = np.sum(np.square(y.T - np.dot(D, W.T)))/y.size\n",
    "    \n",
    "    return W, V\n",
    "\n",
    "\n",
    "#利用以知的权重和噪声进行预测\n",
    "def Linear_Basic_Function_Prediction(x,k,W):\n",
    "    D = get_DesignM(x, k)\n",
    "    y_p= np.dot(D, W.T)\n",
    "    return y_p"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-22T08:48:57.314806Z",
     "start_time": "2024-03-22T08:48:57.310178Z"
    }
   },
   "id": "4e8a2374ba4ed44b",
   "execution_count": 65
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x500 with 3 Axes>",
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#k控制X的最高阶\n",
    "k = 8\n",
    "\n",
    "a = np.arange(-10, 10, 0.1)\n",
    "plt.figure(figsize=(15, 5))\n",
    "\n",
    "\n",
    "#s\n",
    "W_s, V_s = Linear_Basic_Function_Regression(x_s, y_s, k)\n",
    "\n",
    "#测试集\n",
    "y_TTs = Linear_Basic_Function_Prediction(x_Ts, k, W_s)  + gaussian_noise(x_Ts.size , V_s)\n",
    "\n",
    "y_RMSE = np.sqrt(np.sum(np.square(y_Ts - y_TTs))/y_Ts.size)\n",
    "\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.plot(x_Ts, y_Ts, 'k+', label='test')\n",
    "plt.plot(x_Ts, y_TTs, 'r.', label='prediction')\n",
    "plt.plot(a ,sine_function(a), 'g-', label='sine function')\n",
    "plt.plot(a ,Linear_Basic_Function_Prediction(a,k,W_s), 'b-', label='prediction function')\n",
    "plt.title('s data' + ' ,k=%d'%k + ' ,y_RMSE = %f'%y_RMSE)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "#m\n",
    "W_m, V_m = Linear_Basic_Function_Regression(x_m, y_m, k)\n",
    "\n",
    "#测试集\n",
    "y_TTm = Linear_Basic_Function_Prediction(x_Tm, k, W_m)  + gaussian_noise(x_Tm.size , V_m)\n",
    "\n",
    "y_RMSE = np.sqrt(np.sum(np.square(y_Tm - y_TTm))/y_Tm.size)\n",
    "\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.plot(x_Tm, y_Tm, 'k+', label='test')\n",
    "plt.plot(x_Tm, y_TTm, 'r.', label='prediction')\n",
    "plt.plot(a ,sine_function(a), 'g-', label='sine function')\n",
    "plt.plot(a ,Linear_Basic_Function_Prediction(a,k,W_m), 'b-', label='prediction function')\n",
    "plt.title('m data' + ' ,k=%d'%k + ' ,y_RMSE = %f'%y_RMSE)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "#l\n",
    "W_l, V_l = Linear_Basic_Function_Regression(x_l, y_l, k)\n",
    "\n",
    "#测试集\n",
    "y_TTl = Linear_Basic_Function_Prediction(x_Tl, k, W_l)  + gaussian_noise(x_Tl.size , V_l)\n",
    "\n",
    "y_RMSE = np.sqrt(np.sum(np.square(y_Tl - y_TTl))/y_Tl.size)\n",
    "\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.plot(x_Tl, y_Tl, 'k+', label='test')\n",
    "plt.plot(x_Tl, y_TTl, 'r.', label='prediction')\n",
    "plt.plot(a ,sine_function(a), 'g-', label='sine function')\n",
    "plt.plot(a ,Linear_Basic_Function_Prediction(a,k,W_l), 'b-', label='prediction function')\n",
    "plt.title('l data' + ' ,k=%d'%k + ' ,y_RMSE = %f'%y_RMSE)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-22T08:48:57.709959Z",
     "start_time": "2024-03-22T08:48:57.315805Z"
    }
   },
   "id": "eec90429eb962325",
   "execution_count": 66
  },
  {
   "cell_type": "markdown",
   "source": [
    "##实验二"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "7f0e4dab673da4d4"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.legend.Legend at 0x1f05d7d8b90>"
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 1500x500 with 1 Axes>",
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#获取数据\n",
    "from sklearn.datasets import load_iris\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "data = load_iris().data[:,1:4:2]\n",
    "target = load_iris().target\n",
    "\n",
    "plt.figure(figsize=(15, 5))\n",
    "plt.plot(data[0:50,0], data[0:50,1], 'ko', label='setosa')\n",
    "plt.plot(data[50:100,0], data[50:100,1], 'ro', label='versicolor')\n",
    "plt.plot(data[100:150,0], data[100:150,1], 'go', label='virginica')\n",
    "plt.title('l data')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-22T08:48:57.843889Z",
     "start_time": "2024-03-22T08:48:57.711506Z"
    }
   },
   "id": "365b2b7bc14171e8",
   "execution_count": 67
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loss =1.765341\n",
      "loss =1.498650\n",
      "loss =1.262918\n",
      "loss =1.068389\n",
      "loss =0.921229\n",
      "loss =0.819616\n",
      "loss =0.754344\n",
      "loss =0.713690\n",
      "loss =0.687835\n",
      "loss =0.670254\n",
      "loss =0.657142\n",
      "loss =0.646428\n",
      "loss =0.637023\n",
      "loss =0.628365\n",
      "loss =0.620162\n",
      "loss =0.612263\n",
      "loss =0.604590\n",
      "loss =0.597102\n",
      "loss =0.589775\n",
      "loss =0.582598\n",
      "loss =0.575560\n",
      "loss =0.568658\n",
      "loss =0.561887\n",
      "loss =0.555243\n",
      "loss =0.548723\n",
      "loss =0.542325\n",
      "loss =0.536046\n",
      "loss =0.529883\n",
      "loss =0.523834\n",
      "loss =0.517896\n",
      "loss =0.512066\n",
      "loss =0.506343\n",
      "loss =0.500724\n",
      "loss =0.495207\n",
      "loss =0.489790\n",
      "loss =0.484470\n",
      "loss =0.479246\n",
      "loss =0.474115\n",
      "loss =0.469075\n",
      "loss =0.464124\n",
      "loss =0.459260\n",
      "loss =0.454482\n",
      "loss =0.449788\n",
      "loss =0.445175\n",
      "loss =0.440642\n",
      "loss =0.436188\n",
      "loss =0.431810\n",
      "loss =0.427506\n",
      "loss =0.423276\n",
      "loss =0.419118\n"
     ]
    },
    {
     "data": {
      "text/plain": "<matplotlib.legend.Legend at 0x1f05d800ad0>"
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 1000x500 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#二分类,逻辑回归\n",
    "data_new = data[0:100,:]\n",
    "target_new = target[0:100]\n",
    "\n",
    "X = np.concatenate((data_new,np.ones((100,1))),axis=1 )\n",
    "Y = np.array(target_new)\n",
    "\n",
    "\n",
    "#随机生成权重\n",
    "w = np.random.rand(3)\n",
    "\n",
    "epoch = 50\n",
    "stride = 0.05\n",
    "\n",
    "\n",
    "#导入训练数据，进行梯度跟新\n",
    "for i in range(epoch):\n",
    "    Y_hat = np.ones(100)/(np.ones(100)+np.exp(-X@w))  \n",
    "    #计算梯度\n",
    "    grads = 2/100*(X.T@(Y_hat - Y))\n",
    "    #跟新梯度\n",
    "    w = w - stride*grads\n",
    "    #计算损失\n",
    "    loss = -(np.sum(np.log(np.ones(50) - Y_hat[0:50])) + np.sum(np.log(Y_hat[50:100])))/100\n",
    "    print('loss =%f'%loss)\n",
    " \n",
    "#画图    \n",
    "a =np.array([2,4.6])\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(data_new[0:50,0], data_new[0:50,1], 'ko', label='setosa')\n",
    "plt.plot(data_new[50:100,0], data_new[50:100,1], 'ro', label='versicolor')\n",
    "plt.plot(a, -(w[0]*a + w[2]*np.ones(a.shape))/w[1], 'g-' , label='line')\n",
    "plt.title('logic')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-22T08:48:57.974074Z",
     "start_time": "2024-03-22T08:48:57.846403Z"
    }
   },
   "id": "654461c1c7fedf16",
   "execution_count": 68
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loss =2.214847\n",
      "loss =1.780116\n",
      "loss =1.443677\n",
      "loss =1.232422\n",
      "loss =1.102430\n",
      "loss =1.017909\n",
      "loss =0.958262\n",
      "loss =0.912887\n",
      "loss =0.876270\n",
      "loss =0.845387\n",
      "loss =0.818484\n",
      "loss =0.794482\n",
      "loss =0.772689\n",
      "loss =0.752641\n",
      "loss =0.734018\n",
      "loss =0.716587\n",
      "loss =0.700182\n",
      "loss =0.684675\n",
      "loss =0.669967\n",
      "loss =0.655981\n",
      "loss =0.642655\n",
      "loss =0.629935\n",
      "loss =0.617780\n",
      "loss =0.606152\n",
      "loss =0.595017\n",
      "loss =0.584348\n",
      "loss =0.574118\n",
      "loss =0.564303\n",
      "loss =0.554882\n",
      "loss =0.545835\n",
      "loss =0.537141\n",
      "loss =0.528785\n",
      "loss =0.520748\n",
      "loss =0.513016\n",
      "loss =0.505573\n",
      "loss =0.498406\n",
      "loss =0.491500\n",
      "loss =0.484844\n",
      "loss =0.478425\n",
      "loss =0.472232\n",
      "loss =0.466254\n",
      "loss =0.460481\n",
      "loss =0.454903\n",
      "loss =0.449512\n",
      "loss =0.444298\n",
      "loss =0.439253\n",
      "loss =0.434370\n",
      "loss =0.429642\n",
      "loss =0.425060\n",
      "loss =0.420620\n",
      "loss =0.416315\n",
      "loss =0.412139\n",
      "loss =0.408086\n",
      "loss =0.404152\n",
      "loss =0.400330\n",
      "loss =0.396618\n",
      "loss =0.393010\n",
      "loss =0.389501\n",
      "loss =0.386089\n",
      "loss =0.382769\n",
      "loss =0.379538\n",
      "loss =0.376392\n",
      "loss =0.373328\n",
      "loss =0.370342\n",
      "loss =0.367433\n",
      "loss =0.364598\n",
      "loss =0.361832\n",
      "loss =0.359135\n",
      "loss =0.356504\n",
      "loss =0.353936\n",
      "loss =0.351429\n",
      "loss =0.348981\n",
      "loss =0.346590\n",
      "loss =0.344254\n",
      "loss =0.341972\n",
      "loss =0.339741\n",
      "loss =0.337560\n",
      "loss =0.335427\n",
      "loss =0.333341\n",
      "loss =0.331300\n",
      "loss =0.329304\n",
      "loss =0.327349\n",
      "loss =0.325436\n",
      "loss =0.323563\n",
      "loss =0.321729\n",
      "loss =0.319932\n",
      "loss =0.318172\n",
      "loss =0.316447\n",
      "loss =0.314756\n",
      "loss =0.313099\n",
      "loss =0.311475\n",
      "loss =0.309881\n",
      "loss =0.308319\n",
      "loss =0.306786\n",
      "loss =0.305283\n",
      "loss =0.303808\n",
      "loss =0.302360\n",
      "loss =0.300938\n",
      "loss =0.299543\n",
      "loss =0.298173\n"
     ]
    },
    {
     "data": {
      "text/plain": "<matplotlib.legend.Legend at 0x1f05e431510>"
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 2000x500 with 2 Axes>",
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#三分类\n",
    "\n",
    "#数据预处理\n",
    "# x拼接一个1矩阵，每条数据末尾接1\n",
    "X = np.concatenate((data,np.ones((150,1))),axis=1 )\n",
    "#Y 变成一条三个值的向量，对应种类下标位置填1， 其余 0，方便梯度计算\n",
    "Y = np.zeros((150,3))\n",
    "for i in range(150):\n",
    "    Y[i][target[i]] = 1\n",
    "\n",
    "\n",
    "#随机生成w, 按列，代表，w1, w2, w3\n",
    "w = np.random.rand(3,3)\n",
    "\n",
    "epoch = 100\n",
    "stride = 0.05\n",
    "\n",
    "\n",
    "#带入数据，计算梯度\n",
    "for i in range(epoch):\n",
    "    #一个批次1条数据\n",
    "    for j in range(int(150)):\n",
    "        \n",
    "        #生成预测值\n",
    "        Z  = X[j:j+1,:]@w\n",
    "        \n",
    "        expZ = np.exp(Z)\n",
    "        expZ_sum = np.sum(expZ,axis=1)\n",
    "        expZ_sum = np.tile(np.expand_dims(expZ_sum, 1),3)\n",
    "    \n",
    "        #预测值\n",
    "        Y_hat = expZ/expZ_sum \n",
    "    \n",
    "        #计算梯度\n",
    "        A = Y_hat - Y[j:j+1,:]\n",
    "        grads = X[j:j+1,:].T @ A\n",
    "        \n",
    "        #梯度下降\n",
    "        w = w - stride*grads\n",
    "    \n",
    "    \n",
    "    #应用当前模型计算loss\n",
    "    Z = X@w\n",
    "\n",
    "    expZ = np.exp(Z)\n",
    "    expZ_sum = np.sum(expZ,axis=1)\n",
    "    expZ_sum = np.tile(np.expand_dims(expZ_sum, 1),3)\n",
    "\n",
    "    Y_hat = expZ/expZ_sum\n",
    "    B = Y_hat[Y.astype(bool)]\n",
    "    loss = -(np.sum(np.log(B))/150)\n",
    "    print('loss =%f'%loss)\n",
    "\n",
    "\n",
    "    \n",
    "# 画图\n",
    "\n",
    "#利用等高图区别三个类比，\n",
    "\n",
    "#取点采样率\n",
    "k = 500\n",
    "\n",
    "#在对应范围生成均匀采样点\n",
    "a = np.linspace(2,5,k)\n",
    "b = np.linspace(0,3,k)\n",
    "# x = a、y = b的网格化\n",
    "A, B = np.meshgrid(a, b)\n",
    "\n",
    "\n",
    "#计算出z轴值，\n",
    "#z = 对应[x,y,1]带入模型预测出的种类，分别为0,或1，或2\n",
    "A_expand = np.expand_dims(A,2)\n",
    "B_expand = np.expand_dims(B,2)  \n",
    "# 创建一个由 x, y, 1 组成的矩阵，用于与 W 相乘\n",
    "D = np.concatenate((A_expand, B_expand, np.ones_like(A_expand)), axis= 2)  \n",
    "D = D.reshape(-1, 3)\n",
    "# 计算每个 (x, y) 对应的最大值的下标,其值就是带入x,y预测出来的种类\n",
    "Z_index = np.argmax(D @ w,axis=1)   \n",
    "Z_index = Z_index.reshape(A.shape )\n",
    "\n",
    "\n",
    "#利用模型进行预测\n",
    "def prediction(X):\n",
    "    Z  = X@w\n",
    "    expZ = np.exp(Z)\n",
    "    expZ_sum = np.sum(expZ,axis=1)\n",
    "    expZ_sum = np.tile(np.expand_dims(expZ_sum, 1),3)\n",
    "    kkk = expZ/expZ_sum\n",
    "    type = np.argmax(kkk, axis=1)\n",
    "    index0 = np.where(type == 0)\n",
    "    index1 = np.where(type == 1)\n",
    "    index2 = np.where(type == 2)\n",
    "    return (X[index0]),(X[index1]),(X[index2])\n",
    "    \n",
    "\n",
    "#将原训练数据带入预测模型，查看效果\n",
    "type1 ,type2,type3 = prediction(X)\n",
    "\n",
    "\n",
    "#画图\n",
    "plt.figure(figsize=(20, 5))\n",
    "\n",
    "\n",
    "\n",
    "#预测结果\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(type1[:,0], type1[:,1], 'ko', label='setosa')\n",
    "plt.plot(type2[:,0], type2[:,1], 'ro', label='versicolor')\n",
    "plt.plot(type3[:,0], type3[:,1], 'go', label='virginica')\n",
    "plt.title('predicted type')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "#原数据集\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(data[0:50,0], data[0:50,1], 'ko', label='setosa')\n",
    "plt.plot(data[50:100,0], data[50:100,1], 'ro', label='versicolor')\n",
    "plt.plot(data[100:150,0], data[100:150,1], 'go', label='virginica')\n",
    "plt.contourf(A, B, Z_index, levels=2)\n",
    "plt.title('original data')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "\n"
   ],
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    "ExecuteTime": {
     "end_time": "2024-03-22T08:48:58.470429Z",
     "start_time": "2024-03-22T08:48:57.975077Z"
    }
   },
   "id": "7d446669ca2a055d",
   "execution_count": 69
  }
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